120402311024000 has 512 divisors, whose sum is σ = 318222840499200. Its totient is φ = 45205923840000.

The previous prime is 120402311023997. The next prime is 120402311024053. The reversal of 120402311024000 is 420113204021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13048907387 + ... + 13048916613.

It is an arithmetic number, because the mean of its divisors is an integer number (621528985350).

Almost surely, 2^{120402311024000} is an apocalyptic number.

120402311024000 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 120402311024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159111420249600).

120402311024000 is an abundant number, since it is smaller than the sum of its proper divisors (197820529475200).

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

120402311024000 is an equidigital number, since it uses as much as digits as its factorization.

120402311024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9939 (or 9917 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 120402311024000 its reverse (420113204021), we get a palindrome (120822424228021).

The spelling of 120402311024000 in words is "one hundred twenty trillion, four hundred two billion, three hundred eleven million, twenty-four thousand".