120581322368 has 64 divisors (see below), whose sum is σ = 258918805320. Its totient is φ = 55605657600.

The previous prime is 120581322361. The next prime is 120581322419. The reversal of 120581322368 is 863223185021.

It can be written as a sum of positive squares in 4 ways, for example, as 16324661824 + 104256660544 = 127768^2 + 322888^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (120581322361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1968296 + ... + 2028632.

Almost surely, 2^120581322368 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 120581322368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129459402660).

120581322368 is an abundant number, since it is smaller than the sum of its proper divisors (138337482952).

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

120581322368 is a wasteful number, since it uses less digits than its factorization.

120581322368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61565 (or 61553 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 120581322368 in words is "one hundred twenty billion, five hundred eighty-one million, three hundred twenty-two thousand, three hundred sixty-eight".