120886394400 has 108 divisors (see below), whose sum is σ = 426275673642. Its totient is φ = 32236369920.

The previous prime is 120886394311. The next prime is 120886394407. The reversal of 120886394400 is 4493688021.

It is a happy number.

120886394400 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 8 + 639 + 4 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 83657463696 + 37228930704 = 289236^2 + 192948^2 .

It is a super-2 number, since 2×120886394400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (120886394407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8387689 + ... + 8402088.

Almost surely, 2^120886394400 is an apocalyptic number.

120886394400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120886394400 is an abundant number, since it is smaller than the sum of its proper divisors (305389279242).

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

120886394400 is a wasteful number, since it uses less digits than its factorization.

120886394400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16789803 (or 16789787 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 120886394400 in words is "one hundred twenty billion, eight hundred eighty-six million, three hundred ninety-four thousand, four hundred".