120153117 has 16 divisors (see below), whose sum is σ = 188997632. Its totient is φ = 66443760.

The previous prime is 120153113. The next prime is 120153133. The reversal of 120153117 is 711351021.

It is a happy number.

It is not a de Polignac number, because 120153117 - 2² = 120153113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120153093 and 120153102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120153113) 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 15 ways as a sum of consecutive naturals, for example, 91633 + ... + 92934.

It is an arithmetic number, because the mean of its divisors is an integer number (11812352).

Almost surely, 2^120153117 is an apocalyptic number.

It is an amenable number.

120153117 is a deficient number, since it is larger than the sum of its proper divisors (68844515).

120153117 is a wasteful number, since it uses less digits than its factorization.

120153117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184608.

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 120153117 is about 10961.4377250432. The cubic root of 120153117 is about 493.4521140312.

The spelling of 120153117 in words is "one hundred twenty million, one hundred fifty-three thousand, one hundred seventeen".