120458622412800 has 3456 divisors, whose sum is σ = 540167589561600. Its totient is φ = 25027411968000.

The previous prime is 120458622412769. The next prime is 120458622412801. The reversal of 120458622412800 is 8214226854021.

It is a happy number.

120458622412800 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 5 + 8 + 622 + 4 + 12 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (120458622412801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 294519858996 + ... + 294519859404.

It is an arithmetic number, because the mean of its divisors is an integer number (156298492350).

Almost surely, 2^{120458622412800} is an apocalyptic number.

120458622412800 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 120458622412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270083794780800).

120458622412800 is an abundant number, since it is smaller than the sum of its proper divisors (419708967148800).

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

120458622412800 is a wasteful number, since it uses less digits than its factorization.

120458622412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 120458622412800 in words is "one hundred twenty trillion, four hundred fifty-eight billion, six hundred twenty-two million, four hundred twelve thousand, eight hundred".