120722028134400 has 3072 divisors, whose sum is σ = 561130928179200. Its totient is φ = 24715984896000.

The previous prime is 120722028134329. The next prime is 120722028134441. The reversal of 120722028134400 is 4431820227021.

120722028134400 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 2 + 202 + 8 + 1 + 3 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124327525915 + ... + 124327526885.

It is an arithmetic number, because the mean of its divisors is an integer number (182659807350).

Almost surely, 2^{120722028134400} is an apocalyptic number.

120722028134400 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 120722028134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280565464089600).

120722028134400 is an abundant number, since it is smaller than the sum of its proper divisors (440408900044800).

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

120722028134400 is an equidigital number, since it uses as much as digits as its factorization.

120722028134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 120722028134400 in words is "one hundred twenty trillion, seven hundred twenty-two billion, twenty-eight million, one hundred thirty-four thousand, four hundred".