120431808 has 252 divisors, whose sum is σ = 426869352. Its totient is φ = 32256000.

The previous prime is 120431771. The next prime is 120431827. The reversal of 120431808 is 808134021.

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 479683 + ... + 479933.

It is an arithmetic number, because the mean of its divisors is an integer number (1693926).

Almost surely, 2^120431808 is an apocalyptic number.

120431808 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 120431808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213434676).

120431808 is an abundant number, since it is smaller than the sum of its proper divisors (306437544).

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

120431808 is a wasteful number, since it uses less digits than its factorization.

120431808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 120431808 is about 10974.1427000017. The cubic root of 120431808 is about 493.8333344787.

Adding to 120431808 its reverse (808134021), we get a palindrome (928565829).

The spelling of 120431808 in words is "one hundred twenty million, four hundred thirty-one thousand, eight hundred eight".