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12121635564 = 2232379100327
BaseRepresentation
bin10110100101000000…
…10111101011101100
31011021202222212222100
423102200113223230
5144311114314224
65322452415100
7606246126243
oct132240275354
934252885870
1012121635564
115160390235
122423617490
1311b241202c
1482dc4195a
154ae29aac9
hex2d2817aec

12121635564 has 36 divisors (see below), whose sum is σ = 31468934224. Its totient is φ = 3931340832.

The previous prime is 12121635521. The next prime is 12121635577. The reversal of 12121635564 is 46553612121.

12121635564 is a `hidden beast` number, since 1 + 2 + 12 + 1 + 635 + 5 + 6 + 4 = 666.

12121635564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4548832 + ... + 4551495.

Almost surely, 212121635564 is an apocalyptic number.

It is an amenable number.

12121635564 is an abundant number, since it is smaller than the sum of its proper divisors (19347298660).

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

12121635564 is a wasteful number, since it uses less digits than its factorization.

12121635564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9100374 (or 9100369 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The spelling of 12121635564 in words is "twelve billion, one hundred twenty-one million, six hundred thirty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 9100327 18200654 27300981 36401308 54601962 81902943 109203924 163805886 327611772 336712099 673424198 1010136297 1346848396 2020272594 3030408891 4040545188 6060817782 12121635564