130001121232992 has 144 divisors (see below), whose sum is σ = 385771854424320. Its totient is φ = 41448810053376.

The previous prime is 130001121232991. The next prime is 130001121233131. The reversal of 130001121232992 is 299232121100031.

130001121232992 is a `hidden beast` number, since 1 + 30 + 0 + 0 + 1 + 1 + 212 + 329 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130001121232991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393611859 + ... + 393941997.

It is an arithmetic number, because the mean of its divisors is an integer number (2678971211280).

Almost surely, 2^{130001121232992} is an apocalyptic number.

130001121232992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130001121232992 is an abundant number, since it is smaller than the sum of its proper divisors (255770733191328).

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

130001121232992 is a wasteful number, since it uses less digits than its factorization.

130001121232992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389625 (or 389614 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 130001121232992 in words is "one hundred thirty trillion, one billion, one hundred twenty-one million, two hundred thirty-two thousand, nine hundred ninety-two".