130121625600 has 468 divisors, whose sum is σ = 468685350432. Its totient is φ = 34504704000.

The previous prime is 130121625589. The next prime is 130121625611. The reversal of 130121625600 is 6526121031.

130121625600 is a `hidden beast` number, since 1 + 30 + 1 + 2 + 1 + 6 + 25 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (130121625589) and next prime (130121625611).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 249753340 + ... + 249753860.

It is an arithmetic number, because the mean of its divisors is an integer number (1001464424).

Almost surely, 2^130121625600 is an apocalyptic number.

130121625600 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 130121625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234342675216).

130121625600 is an abundant number, since it is smaller than the sum of its proper divisors (338563724832).

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

130121625600 is a wasteful number, since it uses less digits than its factorization.

130121625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 130121625600 its reverse (6526121031), we get a palindrome (136647746631).

The spelling of 130121625600 in words is "one hundred thirty billion, one hundred twenty-one million, six hundred twenty-five thousand, six hundred".