12707970000 has 400 divisors, whose sum is σ = 45327640512. Its totient is φ = 3041280000.

The previous prime is 12707969993. The next prime is 12707970017. The reversal of 12707970000 is 7970721.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×12707970000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32009802 + ... + 32010198.

Almost surely, 2^12707970000 is an apocalyptic number.

12707970000 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 12707970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22663820256).

12707970000 is an abundant number, since it is smaller than the sum of its proper divisors (32619670512).

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

12707970000 is a wasteful number, since it uses less digits than its factorization.

12707970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 33.

The spelling of 12707970000 in words is "twelve billion, seven hundred seven million, nine hundred seventy thousand".