120400669955520 has 1344 divisors, whose sum is σ = 460032357657600. Its totient is φ = 28790618849280.

The previous prime is 120400669955477. The next prime is 120400669955543. The reversal of 120400669955520 is 25559966004021.

120400669955520 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 0 + 0 + 6 + 69 + 9 + 55 + 520 = 666.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 11587009525 + ... + 11587019915.

It is an arithmetic number, because the mean of its divisors is an integer number (342285980400).

Almost surely, 2^{120400669955520} is an apocalyptic number.

120400669955520 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 120400669955520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230016178828800).

120400669955520 is an abundant number, since it is smaller than the sum of its proper divisors (339631687702080).

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

120400669955520 is a wasteful number, since it uses less digits than its factorization.

120400669955520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10626 (or 10613 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 120400669955520 in words is "one hundred twenty trillion, four hundred billion, six hundred sixty-nine million, nine hundred fifty-five thousand, five hundred twenty".