120364945444800 has 2016 divisors, whose sum is σ = 535470879670272. Its totient is φ = 25997633925120.

The previous prime is 120364945444781. The next prime is 120364945444853. The reversal of 120364945444800 is 8444549463021.

120364945444800 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 6 + 4 + 94 + 544 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5195522817 + ... + 5195545983.

It is an arithmetic number, because the mean of its divisors is an integer number (265610555392).

Almost surely, 2^{120364945444800} is an apocalyptic number.

120364945444800 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 120364945444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267735439835136).

120364945444800 is an abundant number, since it is smaller than the sum of its proper divisors (415105934225472).

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

120364945444800 is a wasteful number, since it uses less digits than its factorization.

120364945444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23317 (or 23290 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 120364945444800 in words is "one hundred twenty trillion, three hundred sixty-four billion, nine hundred forty-five million, four hundred forty-four thousand, eight hundred".