120572577288 has 96 divisors (see below), whose sum is σ = 334762122240. Its totient is φ = 39181674240.

The previous prime is 120572577271. The next prime is 120572577431. The reversal of 120572577288 is 882775275021.

It is a happy number.

120572577288 is a `hidden beast` number, since 12 + 0 + 57 + 2 + 577 + 2 + 8 + 8 = 666.

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, 4186345 + ... + 4215047.

It is an arithmetic number, because the mean of its divisors is an integer number (3487105440).

Almost surely, 2^120572577288 is an apocalyptic number.

120572577288 is a gapful number since it is divisible by the number (18) 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 120572577288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167381061120).

120572577288 is an abundant number, since it is smaller than the sum of its proper divisors (214189544952).

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

120572577288 is a wasteful number, since it uses less digits than its factorization.

120572577288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30179 (or 30172 counting only the distinct ones).

The product of its (nonzero) digits is 4390400, while the sum is 54.

The spelling of 120572577288 in words is "one hundred twenty billion, five hundred seventy-two million, five hundred seventy-seven thousand, two hundred eighty-eight".