120022109730432 has 768 divisors, whose sum is σ = 432902612862720. Its totient is φ = 31074777169920.

The previous prime is 120022109730421. The next prime is 120022109730463. The reversal of 120022109730432 is 234037901220021.

120022109730432 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 2 + 210 + 9 + 7 + 3 + 0 + 432 = 666.

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, 2057927832 + ... + 2057986152.

It is an arithmetic number, because the mean of its divisors is an integer number (563675277165).

Almost surely, 2^{120022109730432} is an apocalyptic number.

120022109730432 is a gapful number since it is divisible by the number (12) 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 120022109730432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216451306431360).

120022109730432 is an abundant number, since it is smaller than the sum of its proper divisors (312880503132288).

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

120022109730432 is a wasteful number, since it uses less digits than its factorization.

120022109730432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58721 (or 58706 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 120022109730432 in words is "one hundred twenty trillion, twenty-two billion, one hundred nine million, seven hundred thirty thousand, four hundred thirty-two".