12517120 has 144 divisors (see below), whose sum is σ = 37675008. Its totient is φ = 3870720.

The previous prime is 12517103. The next prime is 12517133. The reversal of 12517120 is 2171521.

12517120 = T₄₂₁ + T₄₂₂ + ... + T₅₃₀.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98497 + ... + 98623.

It is an arithmetic number, because the mean of its divisors is an integer number (261632).

Almost surely, 2^12517120 is an apocalyptic number.

12517120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18837504).

12517120 is an abundant number, since it is smaller than the sum of its proper divisors (25157888).

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

12517120 is a wasteful number, since it uses less digits than its factorization.

12517120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 12517120 is about 3537.9542111226. The cubic root of 12517120 is about 232.1853453479.

Adding to 12517120 its reverse (2171521), we get a palindrome (14688641).

The spelling of 12517120 in words is "twelve million, five hundred seventeen thousand, one hundred twenty".