12945120 has 96 divisors (see below), whose sum is σ = 41277600. Its totient is φ = 3409920.

The previous prime is 12945103. The next prime is 12945133. The reversal of 12945120 is 2154921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12945120² = 335152263628800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 71430 + ... + 71610.

It is an arithmetic number, because the mean of its divisors is an integer number (429975).

Almost surely, 2^12945120 is an apocalyptic number.

12945120 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 12945120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638800).

12945120 is an abundant number, since it is smaller than the sum of its proper divisors (28332480).

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

12945120 is a wasteful number, since it uses less digits than its factorization.

12945120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 12945120 is about 3597.9327397827. The cubic root of 12945120 is about 234.8021270825.

The spelling of 12945120 in words is "twelve million, nine hundred forty-five thousand, one hundred twenty".