130012560764000 has 384 divisors, whose sum is σ = 356110002218880. Its totient is φ = 46359797760000.

The previous prime is 130012560763999. The next prime is 130012560764003. The reversal of 130012560764000 is 467065210031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130012560764003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8657684492 + ... + 8657699508.

It is an arithmetic number, because the mean of its divisors is an integer number (927369797445).

Almost surely, 2^{130012560764000} is an apocalyptic number.

130012560764000 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 130012560764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178055001109440).

130012560764000 is an abundant number, since it is smaller than the sum of its proper divisors (226097441454880).

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

130012560764000 is a wasteful number, since it uses less digits than its factorization.

130012560764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21779 (or 21761 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 130012560764000 in words is "one hundred thirty trillion, twelve billion, five hundred sixty million, seven hundred sixty-four thousand".