360115120 has 40 divisors (see below), whose sum is σ = 842914800. Its totient is φ = 143074560.

The previous prime is 360115111. The next prime is 360115141. The reversal of 360115120 is 21511063.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×360115120² = 259365799305228800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3186 + ... + 27025.

It is an arithmetic number, because the mean of its divisors is an integer number (21072870).

Almost surely, 2^360115120 is an apocalyptic number.

It is an amenable number.

360115120 is an abundant number, since it is smaller than the sum of its proper divisors (482799680).

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

360115120 is a wasteful number, since it uses less digits than its factorization.

360115120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30373 (or 30367 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 360115120 is about 18976.6993968920. The cubic root of 360115120 is about 711.4544805126.

Adding to 360115120 its reverse (21511063), we get a palindrome (381626183).

It can be divided in two parts, 3601 and 15120, that added together give a triangular number (18721 = T₁₉₃).

The spelling of 360115120 in words is "three hundred sixty million, one hundred fifteen thousand, one hundred twenty".