12252800 has 96 divisors (see below), whose sum is σ = 34655520. Its totient is φ = 4193280.

The previous prime is 12252797. The next prime is 12252811. The reversal of 12252800 is 825221.

12252800 = T₃₅ + T₃₆ + ... + T₄₁₈.

12252800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12252800² = 300262215680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22127 + ... + 22673.

It is an arithmetic number, because the mean of its divisors is an integer number (360995).

Almost surely, 2^12252800 is an apocalyptic number.

12252800 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 12252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17327760).

12252800 is an abundant number, since it is smaller than the sum of its proper divisors (22402720).

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

12252800 is an equidigital number, since it uses as much as digits as its factorization.

12252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 12252800 is about 3500.3999771455. The cubic root of 12252800 is about 230.5393768317.

The spelling of 12252800 in words is "twelve million, two hundred fifty-two thousand, eight hundred".