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12235641216 = 27331863649
BaseRepresentation
bin10110110010100110…
…10001000110000000
31011120201111222022220
423121103101012000
5200024311004331
65342044131040
7612132143241
oct133123210600
934521458286
1012235641216
115209778387
122455836a80
1311ccc1a6b6
1484103acc8
154b92ba296
hex2d94d1180

12235641216 has 32 divisors (see below), whose sum is σ = 32500923000. Its totient is φ = 4078546944.

The previous prime is 12235641097. The next prime is 12235641281. The reversal of 12235641216 is 61214653221.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15931441 + ... + 15932208.

Almost surely, 212235641216 is an apocalyptic number.

12235641216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12235641216 is an abundant number, since it is smaller than the sum of its proper divisors (20265281784).

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

12235641216 is an equidigital number, since it uses as much as digits as its factorization.

12235641216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31863666 (or 31863654 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The spelling of 12235641216 in words is "twelve billion, two hundred thirty-five million, six hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 31863649 63727298 95590947 127454596 191181894 254909192 382363788 509818384 764727576 1019636768 1529455152 2039273536 3058910304 4078547072 6117820608 12235641216