120054040135680 has 768 divisors, whose sum is σ = 449573466101760. Its totient is φ = 26777835012096.

The previous prime is 120054040135663. The next prime is 120054040135721. The reversal of 120054040135680 is 86531040450021.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11031331519 + ... + 11031342401.

It is an arithmetic number, because the mean of its divisors is an integer number (585382117320).

Almost surely, 2^{120054040135680} is an apocalyptic number.

120054040135680 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 120054040135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224786733050880).

120054040135680 is an abundant number, since it is smaller than the sum of its proper divisors (329519425966080).

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

120054040135680 is a wasteful number, since it uses less digits than its factorization.

120054040135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12156 (or 12136 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 120054040135680 in words is "one hundred twenty trillion, fifty-four billion, forty million, one hundred thirty-five thousand, six hundred eighty".