120915041563680 has 2304 divisors, whose sum is σ = 503643741511680. Its totient is φ = 23822185660416.

The previous prime is 120915041563649. The next prime is 120915041563691. The reversal of 120915041563680 is 86365140519021.

120915041563680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 212504466436 + ... + 212504467004.

It is an arithmetic number, because the mean of its divisors is an integer number (218595373920).

Almost surely, 2^{120915041563680} is an apocalyptic number.

120915041563680 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 120915041563680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251821870755840).

120915041563680 is an abundant number, since it is smaller than the sum of its proper divisors (382728699948000).

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

120915041563680 is a wasteful number, since it uses less digits than its factorization.

120915041563680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 120915041563680 in words is "one hundred twenty trillion, nine hundred fifteen billion, forty-one million, five hundred sixty-three thousand, six hundred eighty".