120818392128 has 840 divisors, whose sum is σ = 438379941120. Its totient is φ = 32763709440.

The previous prime is 120818392127. The next prime is 120818392139. The reversal of 120818392128 is 821293818021.

120818392128 is a `hidden beast` number, since 120 + 8 + 18 + 392 + 128 = 666.

It is not an unprimeable number, because it can be changed into a prime (120818392127) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 527591118 + ... + 527591346.

Almost surely, 2^120818392128 is an apocalyptic number.

120818392128 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 120818392128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219189970560).

120818392128 is an abundant number, since it is smaller than the sum of its proper divisors (317561548992).

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

120818392128 is a wasteful number, since it uses less digits than its factorization.

120818392128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 120818392128 in words is "one hundred twenty billion, eight hundred eighteen million, three hundred ninety-two thousand, one hundred twenty-eight".