120013408122048 has 672 divisors, whose sum is σ = 416640753045504. Its totient is φ = 32286994274304.

The previous prime is 120013408122017. The next prime is 120013408122059. The reversal of 120013408122048 is 840221804310021.

120013408122048 is a `hidden beast` number, since 1 + 20 + 0 + 1 + 3 + 408 + 1 + 220 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10357585311 + ... + 10357596897.

Almost surely, 2^{120013408122048} is an apocalyptic number.

120013408122048 is a gapful number since it is divisible by the number (18) 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 120013408122048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208320376522752).

120013408122048 is an abundant number, since it is smaller than the sum of its proper divisors (296627344923456).

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

120013408122048 is a wasteful number, since it uses less digits than its factorization.

120013408122048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13369 (or 13356 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 120013408122048 in words is "one hundred twenty trillion, thirteen billion, four hundred eight million, one hundred twenty-two thousand, forty-eight".