120890860992 has 448 divisors, whose sum is σ = 395006169600. Its totient is φ = 35951247360.

The previous prime is 120890860969. The next prime is 120890860999. The reversal of 120890860992 is 299068098021.

120890860992 is a `hidden beast` number, since 1 + 20 + 8 + 9 + 0 + 8 + 609 + 9 + 2 = 666.

It is a super-2 number, since 2×120890860992² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120890860999) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 318973059 + ... + 318973437.

It is an arithmetic number, because the mean of its divisors is an integer number (881710200).

Almost surely, 2^120890860992 is an apocalyptic number.

120890860992 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 120890860992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197503084800).

120890860992 is an abundant number, since it is smaller than the sum of its proper divisors (274115308608).

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

120890860992 is a wasteful number, since it uses less digits than its factorization.

120890860992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 120890860992 in words is "one hundred twenty billion, eight hundred ninety million, eight hundred sixty thousand, nine hundred ninety-two".