120815000352 has 72 divisors (see below), whose sum is σ = 344474479440. Its totient is φ = 40165372800.

The previous prime is 120815000329. The next prime is 120815000357. The reversal of 120815000352 is 253000518021.

It is a happy number.

120815000352 is a `hidden beast` number, since 120 + 8 + 1 + 500 + 0 + 35 + 2 = 666.

120815000352 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (120815000357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 444274 + ... + 662577.

It is an arithmetic number, because the mean of its divisors is an integer number (4784367770).

Almost surely, 2^120815000352 is an apocalyptic number.

120815000352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120815000352 is an abundant number, since it is smaller than the sum of its proper divisors (223659479088).

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

120815000352 is a wasteful number, since it uses less digits than its factorization.

120815000352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107246 (or 1107235 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 120815000352 its reverse (253000518021), we get a palindrome (373815518373).

The spelling of 120815000352 in words is "one hundred twenty billion, eight hundred fifteen million, three hundred fifty-two", and thus it is an aban number.