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212112000211212 = 223215976936878243
BaseRepresentation
bin110000001110101000101100…
…011011001101100100001100
31000211000201010222212101200200
4300032220230123031210030
5210300220334023224322
62031042524020453500
762451405046402203
oct6016505433154414
91024021128771620
10212112000211212
1161649215409582
121b95888784a290
1391480ca697b9a
143a543c02d823a
15197c7be9ac8ac
hexc0ea2c6cd90c

212112000211212 has 36 divisors (see below), whose sum is σ = 536175370993080. Its totient is φ = 70703555614272.

The previous prime is 212112000211211. The next prime is 212112000211217.

212112000211212 is a `hidden beast` number, since 2 + 121 + 120 + 0 + 0 + 211 + 212 = 666.

212112000211212 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2121120002112122 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (212112000211211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12687438 + ... + 24190805.

Almost surely, 2212112000211212 is an apocalyptic number.

It is an amenable number.

212112000211212 is an abundant number, since it is smaller than the sum of its proper divisors (324063370781868).

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

212112000211212 is a wasteful number, since it uses less digits than its factorization.

212112000211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37038022 (or 37038017 counting only the distinct ones).

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

It can be divided in two parts, 212112000 and 211212, that added together give a palindrome (212323212).

The spelling of 212112000211212 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 159769 319538 479307 639076 958614 1437921 1917228 2875842 5751684 36878243 73756486 110634729 147512972 221269458 331904187 442538916 663808374 1327616748 5892000005867 11784000011734 17676000017601 23568000023468 35352000035202 53028000052803 70704000070404 106056000105606 212112000211212