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12215916960 = 2535135933181
BaseRepresentation
bin10110110000010000…
…00001100110100000
31011112100101212201220
423120020001212200
5200004233320320
65340101255040
7611502403152
oct133010014640
934470355656
1012215916960
1151a9626245
12244b104480
1311c8b02940
1483c584ad2
154b76c0e40
hex2d82019a0

12215916960 has 192 divisors, whose sum is σ = 42143794560. Its totient is φ = 2955939840.

The previous prime is 12215916959. The next prime is 12215916961. The reversal of 12215916960 is 6961951221.

It is an interprime number because it is at equal distance from previous prime (12215916959) and next prime (12215916961).

It is not an unprimeable number, because it can be changed into a prime (12215916961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351570 + ... + 384750.

It is an arithmetic number, because the mean of its divisors is an integer number (219498930).

Almost surely, 212215916960 is an apocalyptic number.

12215916960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12215916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21071897280).

12215916960 is an abundant number, since it is smaller than the sum of its proper divisors (29927877600).

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

12215916960 is a wasteful number, since it uses less digits than its factorization.

12215916960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33271 (or 33263 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The spelling of 12215916960 in words is "twelve billion, two hundred fifteen million, nine hundred sixteen thousand, nine hundred sixty".