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12397023360 = 273255936479
BaseRepresentation
bin10111000101110101…
…11001000010000000
31011222222012001000100
423202322321002000
5200342114221420
65410051122400
7616131650151
oct134272710200
934888161010
1012397023360
115291884157
12249b8a3400
1312274a32a7
14858649928
154c8547190
hex2e2eb9080

12397023360 has 192 divisors, whose sum is σ = 43535232000. Its totient is φ = 3249752064.

The previous prime is 12397023311. The next prime is 12397023377. The reversal of 12397023360 is 6332079321.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321601 + ... + 358079.

It is an arithmetic number, because the mean of its divisors is an integer number (226746000).

Almost surely, 212397023360 is an apocalyptic number.

12397023360 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 12397023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21767616000).

12397023360 is an abundant number, since it is smaller than the sum of its proper divisors (31138208640).

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

12397023360 is a wasteful number, since it uses less digits than its factorization.

12397023360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36563 (or 36548 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 12397023360 in words is "twelve billion, three hundred ninety-seven million, twenty-three thousand, three hundred sixty".