120304932804000 has 2304 divisors, whose sum is σ = 530211392815104. Its totient is φ = 26210967552000.

The previous prime is 120304932803929. The next prime is 120304932804053. The reversal of 120304932804000 is 408239403021.

120304932804000 is a `hidden beast` number, since 1 + 20 + 30 + 493 + 2 + 80 + 40 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14131903744 + ... + 14131912256.

It is an arithmetic number, because the mean of its divisors is an integer number (230126472576).

Almost surely, 2^{120304932804000} is an apocalyptic number.

120304932804000 is a gapful number since it is divisible by the number (10) 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 120304932804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265105696407552).

120304932804000 is an abundant number, since it is smaller than the sum of its proper divisors (409906460011104).

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

120304932804000 is an equidigital number, since it uses as much as digits as its factorization.

120304932804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8658 (or 8628 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 120304932804000 in words is "one hundred twenty trillion, three hundred four billion, nine hundred thirty-two million, eight hundred four thousand".