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212112201201201 = 32717263753044137
BaseRepresentation
bin110000001110101000111000…
…011001111011011000110001
31000211000201200000001202010100
4300032220320121323120301
5210300221242001414301
62031043000000423013
762451413036651640
oct6016507031733061
91024021600052110
10212112201201201
1161649308908304
121b958923017a69
13914813020a982
143a543dcc97357
15197c7d2460286
hexc0ea3867b631

212112201201201 has 48 divisors (see below), whose sum is σ = 372160437352704. Its totient is φ = 113643396652032.

The previous prime is 212112201201149. The next prime is 212112201201203. The reversal of 212112201201201 is 102102102211212.

212112201201201 is a `hidden beast` number, since 2 + 121 + 1 + 220 + 120 + 1 + 201 = 666.

It is not a de Polignac number, because 212112201201201 - 27 = 212112201201073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212112201201203) 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, 376240396 + ... + 376803741.

It is an arithmetic number, because the mean of its divisors is an integer number (7753342444848).

Almost surely, 2212112201201201 is an apocalyptic number.

212112201201201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212112201201201 is a deficient number, since it is larger than the sum of its proper divisors (160048236151503).

212112201201201 is a wasteful number, since it uses less digits than its factorization.

212112201201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753044430 (or 753044427 counting only the distinct ones).

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

Adding to 212112201201201 its reverse (102102102211212), we get a palindrome (314214303412413).

The spelling of 212112201201201 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred one million, two hundred one thousand, two hundred one".

Divisors: 1 3 7 9 17 21 51 63 119 153 263 357 789 1071 1841 2367 4471 5523 13413 16569 31297 40239 93891 281673 753044137 2259132411 5271308959 6777397233 12801750329 15813926877 38405250987 47441780631 89612252303 115215752961 198050608031 268836756909 594151824093 806510270727 1386354256217 1782455472279 3366860336527 4159062768651 10100581009581 12477188305953 23568022355689 30301743028743 70704067067067 212112201201201