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212112120012201 = 322341102001245023
BaseRepresentation
bin110000001110101000110011…
…100100001101110110101001
31000211000201110100021220202100
4300032220303210031312221
5210300221110210342301
62031042543540324013
762451411032604213
oct6016506344156651
91024021410256670
10212112120012201
1161649276aa4862
121b9588bb9a3609
139148119452346
143a543d21a15b3
15197c7ca274286
hexc0ea3390dda9

212112120012201 has 48 divisors (see below), whose sum is σ = 327507460180992. Its totient is φ = 131959048320000.

The previous prime is 212112120012181. The next prime is 212112120012263. The reversal of 212112120012201 is 102210021211212.

212112120012201 is a `hidden beast` number, since 2 + 121 + 121 + 200 + 1 + 220 + 1 = 666.

It is not a de Polignac number, because 212112120012201 - 29 = 212112120011689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212112170012201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 865559976 + ... + 865804998.

It is an arithmetic number, because the mean of its divisors is an integer number (6823072087104).

Almost surely, 2212112120012201 is an apocalyptic number.

It is an amenable number.

212112120012201 is a deficient number, since it is larger than the sum of its proper divisors (115395340168791).

212112120012201 is a wasteful number, since it uses less digits than its factorization.

212112120012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347094 (or 347091 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212112120012201 its reverse (102210021211212), we get a palindrome (314322141223413).

The spelling of 212112120012201 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred twenty million, twelve thousand, two hundred one".

Divisors: 1 3 9 23 41 69 123 207 369 943 2829 8487 102001 245023 306003 735069 918009 2205207 2346023 4182041 5635529 7038069 10045943 12546123 16906587 21114207 30137829 37638369 50719761 90413487 96186943 231056689 288560829 693170067 865682487 2079510201 24992591023 74977773069 224933319207 574829593529 1024696231943 1724488780587 3074088695829 5173466341761 9222266087487 23568013334689 70704040004067 212112120012201