120992486400 has 1320 divisors, whose sum is σ = 490182480480. Its totient is φ = 29382082560.

The previous prime is 120992486357. The next prime is 120992486443. The reversal of 120992486400 is 4684299021.

120992486400 is a `hidden beast` number, since 120 + 9 + 9 + 2 + 486 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (120992486357) and next prime (120992486443).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1457740759 + ... + 1457740841.

It is an arithmetic number, because the mean of its divisors is an integer number (371350364).

Almost surely, 2^120992486400 is an apocalyptic number.

120992486400 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 120992486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245091240240).

120992486400 is an abundant number, since it is smaller than the sum of its proper divisors (369189994080).

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

120992486400 is a wasteful number, since it uses less digits than its factorization.

120992486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 120992486400 in words is "one hundred twenty billion, nine hundred ninety-two million, four hundred eighty-six thousand, four hundred".