12961120 has 48 divisors (see below), whose sum is σ = 31162320. Its totient is φ = 5092864.

The previous prime is 12961099. The next prime is 12961133. The reversal of 12961120 is 2116921.

It is a junction number, because it is equal to n+sod(n) for n = 12961091 and 12961100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8754 + ... + 10126.

It is an arithmetic number, because the mean of its divisors is an integer number (649215).

Almost surely, 2^12961120 is an apocalyptic number.

12961120 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 12961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15581160).

12961120 is an abundant number, since it is smaller than the sum of its proper divisors (18201200).

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

12961120 is a wasteful number, since it uses less digits than its factorization.

12961120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 12961120 is about 3600.1555521949. The cubic root of 12961120 is about 234.8988247131.

The spelling of 12961120 in words is "twelve million, nine hundred sixty-one thousand, one hundred twenty".