12952800 has 216 divisors, whose sum is σ = 52402896. Its totient is φ = 2949120.

The previous prime is 12952799. The next prime is 12952817. The reversal of 12952800 is 825921.

It is a Cunningham number, because it is equal to 3599²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50272 + ... + 50528.

It is an arithmetic number, because the mean of its divisors is an integer number (242606).

Almost surely, 2^12952800 is an apocalyptic number.

12952800 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 12952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26201448).

12952800 is an abundant number, since it is smaller than the sum of its proper divisors (39450096).

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

12952800 is a wasteful number, since it uses less digits than its factorization.

12952800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 12952800 is about 3598.9998610725. Note that the first 3 decimals coincide. The cubic root of 12952800 is about 234.8485518830.

It can be divided in two parts, 1295 and 2800, that added together give a triangular number (4095 = T₉₀).

The spelling of 12952800 in words is "twelve million, nine hundred fifty-two thousand, eight hundred".