120530292865920 has 1024 divisors, whose sum is σ = 489568665600000. Its totient is φ = 27453525073920.

The previous prime is 120530292865901. The next prime is 120530292865963. The reversal of 120530292865920 is 29568292035021.

It is a happy number.

120530292865920 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 3 + 0 + 29 + 28 + 6 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60295293081 + ... + 60295295079.

It is an arithmetic number, because the mean of its divisors is an integer number (478094400000).

Almost surely, 2^{120530292865920} is an apocalyptic number.

120530292865920 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 120530292865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244784332800000).

120530292865920 is an abundant number, since it is smaller than the sum of its proper divisors (369038372734080).

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

120530292865920 is a wasteful number, since it uses less digits than its factorization.

120530292865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 120530292865920 in words is "one hundred twenty trillion, five hundred thirty billion, two hundred ninety-two million, eight hundred sixty-five thousand, nine hundred twenty".