120386265408 has 336 divisors, whose sum is σ = 386096256000. Its totient is φ = 35764457472.

The previous prime is 120386265359. The next prime is 120386265421. The reversal of 120386265408 is 804562683021.

120386265408 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 86 + 26 + 540 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53766753 + ... + 53768991.

It is an arithmetic number, because the mean of its divisors is an integer number (1149096000).

Almost surely, 2^120386265408 is an apocalyptic number.

120386265408 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 120386265408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193048128000).

120386265408 is an abundant number, since it is smaller than the sum of its proper divisors (265709990592).

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

120386265408 is a wasteful number, since it uses less digits than its factorization.

120386265408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 120386265408 in words is "one hundred twenty billion, three hundred eighty-six million, two hundred sixty-five thousand, four hundred eight".