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201020222012112 = 2435192721196421
BaseRepresentation
bin101101101101001110101010…
…111011001111101011010000
3222100202100022220100010200000
4231231032222323033223100
5202322003403313341422
61551311225355530000
760225142332324216
oct5555165273175320
9870670286303600
10201020222012112
1159062219815248
121a667095759900
138822182c25859
14378d605a24cb6
151838ee5cc7cac
hexb6d3aaecfad0

201020222012112 has 120 divisors (see below), whose sum is σ = 614119608516960. Its totient is φ = 63480070085760.

The previous prime is 201020222012089. The next prime is 201020222012201. The reversal of 201020222012112 is 211210222020102.

It is a happy number.

201020222012112 is a `hidden beast` number, since 20 + 10 + 202 + 220 + 1 + 211 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1360524339 + ... + 1360672082.

It is an arithmetic number, because the mean of its divisors is an integer number (5117663404308).

Almost surely, 2201020222012112 is an apocalyptic number.

It is an amenable number.

201020222012112 is an abundant number, since it is smaller than the sum of its proper divisors (413099386504848).

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

201020222012112 is a wasteful number, since it uses less digits than its factorization.

201020222012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721196463 (or 2721196445 counting only the distinct ones).

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

Adding to 201020222012112 its reverse (211210222020102), we get a palindrome (412230444032214).

The spelling of 201020222012112 in words is "two hundred one trillion, twenty billion, two hundred twenty-two million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 912 972 1026 1296 1368 1539 1944 2052 2736 3078 3888 4104 4617 6156 8208 9234 12312 18468 24624 36936 73872 2721196421 5442392842 8163589263 10884785684 16327178526 21769571368 24490767789 32654357052 43539142736 48981535578 51702731999 65308714104 73472303367 97963071156 103405463998 130617428208 146944606734 155108195997 195926142312 206810927996 220416910101 293889213468 310216391994 391852284624 413621855992 440833820202 465324587991 587778426936 620432783988 661250730303 827243711984 881667640404 930649175982 1175556853872 1240865567976 1322501460606 1395973763973 1763335280808 1861298351964 2481731135952 2645002921212 2791947527946 3526670561616 3722596703928 4187921291919 5290005842424 5583895055892 7445193407856 8375842583838 10580011684848 11167790111784 12563763875757 16751685167676 22335580223568 25127527751514 33503370335352 50255055503028 67006740670704 100510111006056 201020222012112