120131134992 has 200 divisors, whose sum is σ = 381110122272. Its totient is φ = 36229939200.

The previous prime is 120131134979. The next prime is 120131135027. The reversal of 120131134992 is 299431131021.

It is a happy number.

120131134992 is a `hidden beast` number, since 1 + 20 + 131 + 13 + 499 + 2 = 666.

It is a super-3 number, since 3×120131134992³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 39 ways as a sum of consecutive naturals, for example, 2988048 + ... + 3027984.

Almost surely, 2^120131134992 is an apocalyptic number.

120131134992 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 120131134992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190555061136).

120131134992 is an abundant number, since it is smaller than the sum of its proper divisors (260978987280).

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

120131134992 is a wasteful number, since it uses less digits than its factorization.

120131134992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40179 (or 40164 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 120131134992 in words is "one hundred twenty billion, one hundred thirty-one million, one hundred thirty-four thousand, nine hundred ninety-two".