120115616929 has 45 divisors (see below), whose sum is σ = 154263307569. Its totient is φ = 93451022280.

The previous prime is 120115616927. The next prime is 120115616939. The reversal of 120115616929 is 929616511021.

The square root of 120115616929 is 346577.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 120115616929 - 2¹ = 120115616927 is a prime.

It is a super-2 number, since 2×120115616929² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120115616927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 186804682 + ... + 186805324.

Almost surely, 2^120115616929 is an apocalyptic number.

120115616929 is the 346577-th square number.

120115616929 is the 173289-th centered octagonal number.

It is an amenable number.

120115616929 is a deficient number, since it is larger than the sum of its proper divisors (34147690640).

120115616929 is an frugal number, since it uses more digits than its factorization.

120115616929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 43.

The spelling of 120115616929 in words is "one hundred twenty billion, one hundred fifteen million, six hundred sixteen thousand, nine hundred twenty-nine".