12951520 has 48 divisors (see below), whose sum is σ = 31123008. Its totient is φ = 5091840.

The previous prime is 12951511. The next prime is 12951541. The reversal of 12951520 is 2515921.

12951520 = T₂₈₁ + T₂₈₂ + ... + T₄₆₃.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9097 + ... + 10423.

It is an arithmetic number, because the mean of its divisors is an integer number (648396).

Almost surely, 2^12951520 is an apocalyptic number.

12951520 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 12951520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15561504).

12951520 is an abundant number, since it is smaller than the sum of its proper divisors (18171488).

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

12951520 is a wasteful number, since it uses less digits than its factorization.

12951520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 12951520 is about 3598.8220294980. The cubic root of 12951520 is about 234.8408156909.

The spelling of 12951520 in words is "twelve million, nine hundred fifty-one thousand, five hundred twenty".