120513345121 has 16 divisors (see below), whose sum is σ = 133529754960. Its totient is φ = 108055802880.

The previous prime is 120513345097. The next prime is 120513345133. The reversal of 120513345121 is 121543315021.

It can be written as a sum of positive squares in 8 ways, for example, as 4940543521 + 115572801600 = 70289^2 + 339960^2 .

It is a cyclic number.

It is not a de Polignac number, because 120513345121 - 2⁷ = 120513344993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120513345121.

It is not an unprimeable number, because it can be changed into a prime (120513345181) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 371620 + ... + 615733.

It is an arithmetic number, because the mean of its divisors is an integer number (8345609685).

Almost surely, 2^120513345121 is an apocalyptic number.

It is an amenable number.

120513345121 is a deficient number, since it is larger than the sum of its proper divisors (13016409839).

120513345121 is a wasteful number, since it uses less digits than its factorization.

120513345121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987636.

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 120513345121 in words is "one hundred twenty billion, five hundred thirteen million, three hundred forty-five thousand, one hundred twenty-one".