12202800 has 60 divisors (see below), whose sum is σ = 39093480. Its totient is φ = 3253760.

The previous prime is 12202739. The next prime is 12202819. The reversal of 12202800 is 820221.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 12202800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3885 + ... + 6284.

It is an arithmetic number, because the mean of its divisors is an integer number (651558).

Almost surely, 2^12202800 is an apocalyptic number.

12202800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12202800 is an abundant number, since it is smaller than the sum of its proper divisors (26890680).

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

12202800 is a wasteful number, since it uses less digits than its factorization.

12202800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10190 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 12202800 is about 3493.2506351535. The cubic root of 12202800 is about 230.2253619712.

It can be divided in two parts, 12 and 202800, that multiplied together give a square (2433600 = 1560²).

The spelling of 12202800 in words is "twelve million, two hundred two thousand, eight hundred".