12953120 has 48 divisors (see below), whose sum is σ = 31048920. Its totient is φ = 5105664.

The previous prime is 12953119. The next prime is 12953131. The reversal of 12953120 is 2135921.

It can be written as a sum of positive squares in 4 ways, for example, as 6822544 + 6130576 = 2612^2 + 2476^2 .

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, 11126 + ... + 12234.

Almost surely, 2^12953120 is an apocalyptic number.

12953120 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 12953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15524460).

12953120 is an abundant number, since it is smaller than the sum of its proper divisors (18095800).

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

12953120 is a wasteful number, since it uses less digits than its factorization.

12953120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 12953120 is about 3599.0443175932. The cubic root of 12953120 is about 234.8504858514.

The spelling of 12953120 in words is "twelve million, nine hundred fifty-three thousand, one hundred twenty".