12270800 has 30 divisors (see below), whose sum is σ = 29481558. Its totient is φ = 4908160.

The previous prime is 12270763. The next prime is 12270871. The reversal of 12270800 is 807221.

It can be written as a sum of positive squares in 3 ways, for example, as 1669264 + 10601536 = 1292^2 + 3256^2 .

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14939 + ... + 15738.

Almost surely, 2^12270800 is an apocalyptic number.

12270800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12270800 is an abundant number, since it is smaller than the sum of its proper divisors (17210758).

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

12270800 is a wasteful number, since it uses less digits than its factorization.

12270800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30695 (or 30684 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 12270800 is about 3502.9701683000. The cubic root of 12270800 is about 230.6522130377.

The spelling of 12270800 in words is "twelve million, two hundred seventy thousand, eight hundred".