120427564704 has 24 divisors (see below), whose sum is σ = 316122357600. Its totient is φ = 40142521536.

The previous prime is 120427564643. The next prime is 120427564723. The reversal of 120427564704 is 407465724021.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×120427564704³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 627226804 + ... + 627226995.

It is an arithmetic number, because the mean of its divisors is an integer number (13171764900).

Almost surely, 2^120427564704 is an apocalyptic number.

It is an amenable number.

120427564704 is an abundant number, since it is smaller than the sum of its proper divisors (195694792896).

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

120427564704 is a wasteful number, since it uses less digits than its factorization.

120427564704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254453812 (or 1254453804 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 120427564704 in words is "one hundred twenty billion, four hundred twenty-seven million, five hundred sixty-four thousand, seven hundred four".