120625387057728 has 448 divisors, whose sum is σ = 405960734269440. Its totient is φ = 34406205235200.

The previous prime is 120625387057727. The next prime is 120625387057739. The reversal of 120625387057728 is 827750783526021.

It is a happy number.

120625387057728 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 2 + 5 + 38 + 7 + 0 + 577 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (120625387057727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21121584793 + ... + 21121590503.

It is an arithmetic number, because the mean of its divisors is an integer number (906162353280).

Almost surely, 2^{120625387057728} is an apocalyptic number.

120625387057728 is a gapful number since it is divisible by the number (18) 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 120625387057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202980367134720).

120625387057728 is an abundant number, since it is smaller than the sum of its proper divisors (285335347211712).

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

120625387057728 is a wasteful number, since it uses less digits than its factorization.

120625387057728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8383 (or 8367 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 120625387057728 in words is "one hundred twenty trillion, six hundred twenty-five billion, three hundred eighty-seven million, fifty-seven thousand, seven hundred twenty-eight".