120312153 has 12 divisors (see below), whose sum is σ = 187152420. Its totient is φ = 74038176.

The previous prime is 120312131. The next prime is 120312169. The reversal of 120312153 is 351213021.

It can be written as a sum of positive squares in 2 ways, for example, as 18766224 + 101545929 = 4332^2 + 10077^2 .

It is not a de Polignac number, because 120312153 - 2⁵ = 120312121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120312193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 514038 + ... + 514271.

It is an arithmetic number, because the mean of its divisors is an integer number (15596035).

Almost surely, 2^120312153 is an apocalyptic number.

120312153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120312153 is a deficient number, since it is larger than the sum of its proper divisors (66840267).

120312153 is a wasteful number, since it uses less digits than its factorization.

120312153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028328 (or 1028325 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 120312153 is about 10968.6896665007. The cubic root of 120312153 is about 493.6697309454.

Adding to 120312153 its reverse (351213021), we get a palindrome (471525174).

The spelling of 120312153 in words is "one hundred twenty million, three hundred twelve thousand, one hundred fifty-three".