12295800 has 288 divisors, whose sum is σ = 48746880. Its totient is φ = 2851200.

The previous prime is 12295781. The next prime is 12295819. The reversal of 12295800 is 859221.

It is an interprime number because it is at equal distance from previous prime (12295781) and next prime (12295819).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 534589 + ... + 534611.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

Almost surely, 2^12295800 is an apocalyptic number.

12295800 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 12295800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

12295800 is an abundant number, since it is smaller than the sum of its proper divisors (36451080).

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

12295800 is a wasteful number, since it uses less digits than its factorization.

12295800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 44 counting only the distinct ones).

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

The square root of 12295800 is about 3506.5367529801. The cubic root of 12295800 is about 230.8087470791.

The spelling of 12295800 in words is "twelve million, two hundred ninety-five thousand, eight hundred".