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212112121001211 = 321910937013074849
BaseRepresentation
bin110000001110101000110011…
…100111111111010011111011
31000211000201110102011011102100
4300032220303213333103323
5210300221110434014321
62031042544013434443
762451411044163504
oct6016506347772373
91024021412134370
10212112121001211
116164927760a922
121b95890019ba23
13914811970a562
143a543d237bbab
15197c7ca3bc326
hexc0ea339ff4fb

212112121001211 has 48 divisors (see below), whose sum is σ = 325556508420000. Its totient is φ = 132700600166400.

The previous prime is 212112121001153. The next prime is 212112121001227. The reversal of 212112121001211 is 112100121211212.

It is a happy number.

212112121001211 is a `hidden beast` number, since 2 + 121 + 121 + 210 + 0 + 1 + 211 = 666.

It is not a de Polignac number, because 212112121001211 - 218 = 212112120739067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212112121001611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67445515 + ... + 70520363.

It is an arithmetic number, because the mean of its divisors is an integer number (6782427258750).

Almost surely, 2212112121001211 is an apocalyptic number.

212112121001211 is a deficient number, since it is larger than the sum of its proper divisors (113444387418789).

212112121001211 is a wasteful number, since it uses less digits than its factorization.

212112121001211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078684 (or 3078681 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212112121001211 its reverse (112100121211212), we get a palindrome (324212242212423).

The spelling of 212112121001211 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred twenty-one million, one thousand, two hundred eleven".

Divisors: 1 3 9 19 57 109 171 327 981 2071 3701 6213 11103 18639 33309 70319 210957 403409 632871 1210227 3074849 3630681 7664771 9224547 22994313 27673641 58422131 68982939 175266393 335158541 525799179 1005475623 3016426869 6368012279 11380016149 19104036837 34140048447 57312110511 102420145341 216220306831 648660920493 1240421760241 1945982761479 3721265280723 11163795842169 23568013444579 70704040333737 212112121001211