120983234904 has 320 divisors, whose sum is σ = 409829207040. Its totient is φ = 32596058880.

The previous prime is 120983234893. The next prime is 120983234987. The reversal of 120983234904 is 409432389021.

120983234904 is a `hidden beast` number, since 120 + 9 + 8 + 32 + 3 + 490 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 120983234904.

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 79 ways as a sum of consecutive naturals, for example, 7399122 + ... + 7415454.

It is an arithmetic number, because the mean of its divisors is an integer number (1280716272).

Almost surely, 2^120983234904 is an apocalyptic number.

120983234904 is a gapful number since it is divisible by the number (14) 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 120983234904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204914603520).

120983234904 is an abundant number, since it is smaller than the sum of its proper divisors (288845972136).

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

120983234904 is a wasteful number, since it uses less digits than its factorization.

120983234904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16452 (or 16439 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 120983234904 in words is "one hundred twenty billion, nine hundred eighty-three million, two hundred thirty-four thousand, nine hundred four".