120700145056540 has 288 divisors, whose sum is σ = 306335991177216. Its totient is φ = 39788818030080.

The previous prime is 120700145056511. The next prime is 120700145056553. The reversal of 120700145056540 is 45650541007021.

It is a junction number, because it is equal to n+sod(n) for n = 120700145056493 and 120700145056502.

It is a congruent number.

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, 13581647977 + ... + 13581656863.

It is an arithmetic number, because the mean of its divisors is an integer number (1063666636032).

Almost surely, 2^{120700145056540} is an apocalyptic number.

120700145056540 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 120700145056540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153167995588608).

120700145056540 is an abundant number, since it is smaller than the sum of its proper divisors (185635846120676).

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

120700145056540 is a wasteful number, since it uses less digits than its factorization.

120700145056540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11785 (or 11776 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The spelling of 120700145056540 in words is "one hundred twenty trillion, seven hundred billion, one hundred forty-five million, fifty-six thousand, five hundred forty".