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12212712960 = 293572172383
BaseRepresentation
bin10110101111110111…
…10011011000000000
31011112010101002200020
423113323303120000
5200002423303320
65335504453440
7611433230100
oct132773633000
934463332606
1012212712960
1151a7838008
12244a01a280
1311c8250496
1483bd8d200
154b728b940
hex2d7ef3600

12212712960 has 960 divisors, whose sum is σ = 50783749632. Its totient is φ = 2482765824.

The previous prime is 12212712959. The next prime is 12212713021. The reversal of 12212712960 is 6921721221.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147141079 + ... + 147141161.

Almost surely, 212212712960 is an apocalyptic number.

12212712960 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 12212712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25391874816).

12212712960 is an abundant number, since it is smaller than the sum of its proper divisors (38571036672).

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

12212712960 is a wasteful number, since it uses less digits than its factorization.

12212712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 12212712960 in words is "twelve billion, two hundred twelve million, seven hundred twelve thousand, nine hundred sixty".