120164896400 has 60 divisors (see below), whose sum is σ = 288982129332. Its totient is φ = 48018347520.

The previous prime is 120164896387. The next prime is 120164896433. The reversal of 120164896400 is 4698461021.

It can be written as a sum of positive squares in 6 ways, for example, as 16663711744 + 103501184656 = 129088^2 + 321716^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256922 + ... + 553478.

Almost surely, 2^120164896400 is an apocalyptic number.

120164896400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120164896400 is an abundant number, since it is smaller than the sum of its proper divisors (168817232932).

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

120164896400 is a wasteful number, since it uses less digits than its factorization.

120164896400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297588 (or 297577 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 120164896400 in words is "one hundred twenty billion, one hundred sixty-four million, eight hundred ninety-six thousand, four hundred".