120036641130 has 288 divisors, whose sum is σ = 385997451840. Its totient is φ = 25716096000.

The previous prime is 120036641083. The next prime is 120036641143. The reversal of 120036641130 is 31146630021.

120036641130 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 3 + 6 + 641 + 13 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120036641094 and 120036641103.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 18814281 + ... + 18820659.

It is an arithmetic number, because the mean of its divisors is an integer number (1340268930).

Almost surely, 2^120036641130 is an apocalyptic number.

120036641130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120036641130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192998725920).

120036641130 is an abundant number, since it is smaller than the sum of its proper divisors (265960810710).

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

120036641130 is a wasteful number, since it uses less digits than its factorization.

120036641130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6674 (or 6664 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 120036641130 in words is "one hundred twenty billion, thirty-six million, six hundred forty-one thousand, one hundred thirty".