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12267396960 = 2535721353757
BaseRepresentation
bin10110110110011000…
…11001111101100000
31011122221021100000120
423123030121331200
5200110423200320
65345140520240
7612666103500
oct133314317540
934587240016
1012267396960
1152256979a5
1224643b0080
131206688890
14845345a00
154bbe8e440
hex2db319f60

12267396960 has 576 divisors, whose sum is σ = 49387568832. Its totient is φ = 2536095744.

The previous prime is 12267396913. The next prime is 12267396971. The reversal of 12267396960 is 6969376221.

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, 16204902 + ... + 16205658.

It is an arithmetic number, because the mean of its divisors is an integer number (85742307).

Almost surely, 212267396960 is an apocalyptic number.

12267396960 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 12267396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24693784416).

12267396960 is an abundant number, since it is smaller than the sum of its proper divisors (37120171872).

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

12267396960 is a wasteful number, since it uses less digits than its factorization.

12267396960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 12267396960 in words is "twelve billion, two hundred sixty-seven million, three hundred ninety-six thousand, nine hundred sixty".