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200121012112 = 2473192338237
BaseRepresentation
bin1011101001100000100…
…1000100111110010000
3201010112202222201220111
42322120021010332100
511234321434341422
6231533451451104
720313120352000
oct2723011047620
9633482881814
10200121012112
117796410440a
1232950156a94
1315b4340b988
1499861c2000
155313dc9a77
hex2e98244f90

200121012112 has 160 divisors (see below), whose sum is σ = 478067616000. Its totient is φ = 80893596672.

The previous prime is 200121012101. The next prime is 200121012149. The reversal of 200121012112 is 211210121002.

It is a junction number, because it is equal to n+sod(n) for n = 200121012092 and 200121012101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24291258 + ... + 24299494.

It is an arithmetic number, because the mean of its divisors is an integer number (2987922600).

Almost surely, 2200121012112 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 200121012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239033808000).

200121012112 is an abundant number, since it is smaller than the sum of its proper divisors (277946603888).

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

200121012112 is a wasteful number, since it uses less digits than its factorization.

200121012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8518 (or 8498 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 200121012112 its reverse (211210121002), we get a palindrome (411331133114).

The spelling of 200121012112 in words is "two hundred billion, one hundred twenty-one million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 233 266 304 343 392 466 532 686 784 931 932 1064 1372 1631 1862 1864 2128 2744 3262 3724 3728 4427 5488 6517 6524 7448 8237 8854 11417 13034 13048 14896 16474 17708 22834 26068 26096 30989 32948 35416 45668 52136 57659 61978 65896 70832 79919 91336 104272 115318 123956 131792 156503 159838 182672 216923 230636 247912 313006 319676 403613 433846 461272 495824 626012 639352 807226 867692 922544 1095521 1252024 1278704 1518461 1614452 1735384 1919221 2191042 2504048 2825291 3036922 3228904 3470768 3838442 4382084 5650582 6073844 6457808 7668647 7676884 8764168 11301164 12147688 13434547 15337294 15353768 17528336 22602328 24295376 26869094 30674588 30707536 36465199 45204656 53680529 53738188 61349176 72930398 94041829 107361058 107476376 122698352 145860796 188083658 214722116 214952752 255256393 291721592 376167316 429444232 510512786 583443184 658292803 752334632 858888464 1021025572 1316585606 1504669264 1786794751 2042051144 2633171212 3573589502 4084102288 5266342424 7147179004 10532684848 12507563257 14294358008 25015126514 28588716016 50030253028 100060506056 200121012112