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211222101122112 = 2631139735531947
BaseRepresentation
bin110000000001101011111010…
…010011100101110001000000
31000200212122011101201202022110
4300001223322103211301000
5210141130330341401422
62025122032122535320
762330202400061403
oct6001537223456100
91020778141652273
10211222101122112
1161335876597633
121b834312367540
1390b220a79b542
143a232c0621d3a
15196458912360c
hexc01afa4e5c40

211222101122112 has 56 divisors (see below), whose sum is σ = 563804126172576. Its totient is φ = 69784292988928.

The previous prime is 211222101122111. The next prime is 211222101122113. The reversal of 211222101122112 is 211221101222112.

It is an interprime number because it is at equal distance from previous prime (211222101122111) and next prime (211222101122113).

It is a super-2 number, since 2×2112221011221122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211222101122111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4867744278 + ... + 4867787669.

Almost surely, 2211222101122112 is an apocalyptic number.

It is an amenable number.

211222101122112 is an abundant number, since it is smaller than the sum of its proper divisors (352582025050464).

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

211222101122112 is a wasteful number, since it uses less digits than its factorization.

211222101122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9735532075 (or 9735532065 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 211222101122112 its reverse (211221101222112), we get a palindrome (422443202344224).

The spelling of 211222101122112 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 904 1356 1808 2712 3616 5424 7232 10848 21696 9735531947 19471063894 29206595841 38942127788 58413191682 77884255576 116826383364 155768511152 233652766728 311537022304 467305533456 623074044608 934611066912 1100115110011 1869222133824 2200230220022 3300345330033 4400460440044 6600690660066 8800920880088 13201381320132 17601841760176 26402762640264 35203683520352 52805525280528 70407367040704 105611050561056 211222101122112