120331185408 has 432 divisors, whose sum is σ = 424007490816. Its totient is φ = 32036290560.

The previous prime is 120331185407. The next prime is 120331185421. The reversal of 120331185408 is 804581133021.

120331185408 is a `hidden beast` number, since 1 + 203 + 31 + 18 + 5 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120331185407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28237998 + ... + 28242258.

Almost surely, 2^120331185408 is an apocalyptic number.

120331185408 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 120331185408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212003745408).

120331185408 is an abundant number, since it is smaller than the sum of its proper divisors (303676305408).

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

120331185408 is a wasteful number, since it uses less digits than its factorization.

120331185408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 120331185408 in words is "one hundred twenty billion, three hundred thirty-one million, one hundred eighty-five thousand, four hundred eight".