1992100120 has 96 divisors (see below), whose sum is σ = 4784410800. Its totient is φ = 746350592.

The previous prime is 1992100111. The next prime is 1992100147. The reversal of 1992100120 is 210012991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4496619 + ... + 4497061.

Almost surely, 2^1992100120 is an apocalyptic number.

1992100120 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 1992100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392205400).

1992100120 is an abundant number, since it is smaller than the sum of its proper divisors (2792310680).

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

1992100120 is a wasteful number, since it uses less digits than its factorization.

1992100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 25.

The square root of 1992100120 is about 44632.9488158692. The cubic root of 1992100120 is about 1258.2599900919.

The spelling of 1992100120 in words is "one billion, nine hundred ninety-two million, one hundred thousand, one hundred twenty".