12707381520 has 160 divisors (see below), whose sum is σ = 43938259200. Its totient is φ = 3375599616.

The previous prime is 12707381471. The next prime is 12707381539. The reversal of 12707381520 is 2518370721.

12707381520 is a `hidden beast` number, since 1 + 270 + 7 + 381 + 5 + 2 + 0 = 666.

It is a super-2 number, since 2×12707381520² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 556896 + ... + 579264.

It is an arithmetic number, because the mean of its divisors is an integer number (274614120).

Almost surely, 2^12707381520 is an apocalyptic number.

12707381520 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 12707381520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21969129600).

12707381520 is an abundant number, since it is smaller than the sum of its proper divisors (31230877680).

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

12707381520 is a wasteful number, since it uses less digits than its factorization.

12707381520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22654 (or 22642 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 12707381520 in words is "twelve billion, seven hundred seven million, three hundred eighty-one thousand, five hundred twenty".