120900671557344 has 144 divisors (see below), whose sum is σ = 407480041358208. Its totient is φ = 34543049000832.

The previous prime is 120900671557313. The next prime is 120900671557357. The reversal of 120900671557344 is 443755176009021.

120900671557344 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 0 + 0 + 67 + 1 + 5 + 573 + 4 + 4 = 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1110511702 + ... + 1110620565.

It is an arithmetic number, because the mean of its divisors is an integer number (2829722509432).

Almost surely, 2^{120900671557344} is an apocalyptic number.

120900671557344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

120900671557344 is an abundant number, since it is smaller than the sum of its proper divisors (286579369800864).

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

120900671557344 is an equidigital number, since it uses as much as digits as its factorization.

120900671557344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221132299 (or 2221132279 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 120900671557344 in words is "one hundred twenty trillion, nine hundred billion, six hundred seventy-one million, five hundred fifty-seven thousand, three hundred forty-four".