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12297720960 = 2732572389149
BaseRepresentation
bin10110111010000000…
…00101010010000000
31011202001022221201200
423131000011102000
5200141204032320
65352142501200
7613514621610
oct133500052200
934661287650
1012297720960
115240819858
122472594800
13120ca45185
1484939aa40
154be97e290
hex2dd005480

12297720960 has 768 divisors, whose sum is σ = 51554880000. Its totient is φ = 2640642048.

The previous prime is 12297720959. The next prime is 12297720971. The reversal of 12297720960 is 6902779221.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 82534966 + ... + 82535114.

It is an arithmetic number, because the mean of its divisors is an integer number (67128750).

Almost surely, 212297720960 is an apocalyptic number.

12297720960 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 12297720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25777440000).

12297720960 is an abundant number, since it is smaller than the sum of its proper divisors (39257159040).

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

12297720960 is a wasteful number, since it uses less digits than its factorization.

12297720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 12297720960 in words is "twelve billion, two hundred ninety-seven million, seven hundred twenty thousand, nine hundred sixty".