120344247189504 has 1800 divisors, whose sum is σ = 423494674606080. Its totient is φ = 33911223091200.

The previous prime is 120344247189497. The next prime is 120344247189521. The reversal of 120344247189504 is 405981742443021.

It is a happy number.

120344247189504 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 4 + 42 + 471 + 89 + 50 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 132101258809 + ... + 132101259719.

Almost surely, 2^{120344247189504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120344247189504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211747337303040).

120344247189504 is an abundant number, since it is smaller than the sum of its proper divisors (303150427416576).

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

120344247189504 is an equidigital number, since it uses as much as digits as its factorization.

120344247189504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 120344247189504 in words is "one hundred twenty trillion, three hundred forty-four billion, two hundred forty-seven million, one hundred eighty-nine thousand, five hundred four".