120904430976 has 320 divisors, whose sum is σ = 432858624000. Its totient is φ = 32725638144.

The previous prime is 120904430887. The next prime is 120904431007. The reversal of 120904430976 is 679034409021.

It is a happy number.

120904430976 is a `hidden beast` number, since 1 + 209 + 0 + 4 + 430 + 9 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1335105 + ... + 1422783.

It is an arithmetic number, because the mean of its divisors is an integer number (1352683200).

Almost surely, 2^120904430976 is an apocalyptic number.

120904430976 is a gapful number since it is divisible by the number (16) 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 120904430976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216429312000).

120904430976 is an abundant number, since it is smaller than the sum of its proper divisors (311954193024).

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

120904430976 is an equidigital number, since it uses as much as digits as its factorization.

120904430976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87731 (or 87710 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

Adding to 120904430976 its reverse (679034409021), we get a palindrome (799938839997).

The spelling of 120904430976 in words is "one hundred twenty billion, nine hundred four million, four hundred thirty thousand, nine hundred seventy-six".