130212693600 has 576 divisors, whose sum is σ = 473441697792. Its totient is φ = 30820608000.

The previous prime is 130212693599. The next prime is 130212693619. The reversal of 130212693600 is 6396212031.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 238048527 + ... + 238049073.

It is an arithmetic number, because the mean of its divisors is an integer number (821947392).

Almost surely, 2^130212693600 is an apocalyptic number.

130212693600 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 130212693600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236720848896).

130212693600 is an abundant number, since it is smaller than the sum of its proper divisors (343229004192).

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

130212693600 is a wasteful number, since it uses less digits than its factorization.

130212693600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 130212693600 in words is "one hundred thirty billion, two hundred twelve million, six hundred ninety-three thousand, six hundred".