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200122002212112 = 24338914333632243
BaseRepresentation
bin101101100000001010001000…
…110110101000010100010000
3222020120110212102022120202000
4231200022020312220110100
5202212244330031241422
61545342440104154000
760103223526104151
oct5540121066502420
9866513772276660
10200122002212112
11588462a0096022
121a540b99768900
138788568216436
14375bd56c3d928
151820974be2cac
hexb60288da8510

200122002212112 has 160 divisors (see below), whose sum is σ = 581283989193600. Its totient is φ = 65911767533568.

The previous prime is 200122002212107. The next prime is 200122002212141. The reversal of 200122002212112 is 211212200221002.

It is a happy number.

200122002212112 is a `hidden beast` number, since 20 + 0 + 12 + 200 + 221 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53279863 + ... + 56912105.

It is an arithmetic number, because the mean of its divisors is an integer number (3633024932460).

Almost surely, 2200122002212112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200122002212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290641994596800).

200122002212112 is an abundant number, since it is smaller than the sum of its proper divisors (381161986981488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200122002212112 is a wasteful number, since it uses less digits than its factorization.

200122002212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633782 (or 3633770 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200122002212112 its reverse (211212200221002), we get a palindrome (411334202433114).

The spelling of 200122002212112 in words is "two hundred trillion, one hundred twenty-two billion, two million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 89 108 144 178 216 267 356 432 534 712 801 1068 1424 1433 1602 2136 2403 2866 3204 4272 4299 4806 5732 6408 8598 9612 11464 12816 12897 17196 19224 22928 25794 34392 38448 38691 51588 68784 77382 103176 127537 154764 206352 255074 309528 382611 510148 619056 765222 1020296 1147833 1530444 2040592 2295666 3060888 3443499 3632243 4591332 6121776 6886998 7264486 9182664 10896729 13773996 14528972 18365328 21793458 27547992 29057944 32690187 43586916 55095984 58115888 65380374 87173832 98070561 130760748 174347664 196141122 261521496 323269627 392282244 523042992 646539254 784564488 969808881 1293078508 1569128976 1939617762 2586157016 2909426643 3879235524 5172314032 5205004219 5818853286 7758471048 8728279929 10410008438 11637706572 15516942096 15615012657 17456559858 20820016876 23275413144 31230025314 34913119716 41640033752 46550826288 46845037971 62460050628 69826239432 83280067504 93690075942 124920101256 139652478864 140535113913 187380151884 249840202512 281070227826 374760303768 463245375491 562140455652 749520607536 926490750982 1124280911304 1389736126473 1852981501964 2248561822608 2779472252946 3705963003928 4169208379419 5558944505892 7411926007856 8338416758838 11117889011784 12507625138257 16676833517676 22235778023568 25015250276514 33353667035352 50030500553028 66707334070704 100061001106056 200122002212112