120401527308480 has 1792 divisors, whose sum is σ = 500911655731200. Its totient is φ = 26909356032000.

The previous prime is 120401527308451. The next prime is 120401527308511. The reversal of 120401527308480 is 84803725104021.

120401527308480 is a `hidden beast` number, since 1 + 2 + 0 + 40 + 1 + 527 + 3 + 0 + 8 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 32798017045 + ... + 32798020715.

It is an arithmetic number, because the mean of its divisors is an integer number (279526593600).

Almost surely, 2^{120401527308480} is an apocalyptic number.

120401527308480 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 120401527308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250455827865600).

120401527308480 is an abundant number, since it is smaller than the sum of its proper divisors (380510128422720).

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

120401527308480 is a wasteful number, since it uses less digits than its factorization.

120401527308480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 120401527308480 in words is "one hundred twenty trillion, four hundred one billion, five hundred twenty-seven million, three hundred eight thousand, four hundred eighty".