120492126720 has 1600 divisors, whose sum is σ = 551854321920. Its totient is φ = 24461180928.

The previous prime is 120492126673. The next prime is 120492126731. The reversal of 120492126720 is 27621294021.

120492126720 is a `hidden beast` number, since 1 + 20 + 492 + 126 + 7 + 20 = 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 159 ways as a sum of consecutive naturals, for example, 468840832 + ... + 468841088.

Almost surely, 2^120492126720 is an apocalyptic number.

120492126720 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 120492126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275927160960).

120492126720 is an abundant number, since it is smaller than the sum of its proper divisors (431362195200).

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

120492126720 is a wasteful number, since it uses less digits than its factorization.

120492126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 120492126720 in words is "one hundred twenty billion, four hundred ninety-two million, one hundred twenty-six thousand, seven hundred twenty".