12228100 has 36 divisors (see below), whose sum is σ = 28099764. Its totient is φ = 4602880.

The previous prime is 12228091. The next prime is 12228113. The reversal of 12228100 is 182221.

It can be written as a sum of positive squares in 6 ways, for example, as 817216 + 11410884 = 904^2 + 3378^2 .

It is a super-2 number, since 2×12228100² = 299052859220000, which contains 22 as substring.

It is a zygodrome in base 5.

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, 1897 + ... + 5296.

It is an arithmetic number, because the mean of its divisors is an integer number (780549).

Almost surely, 2^12228100 is an apocalyptic number.

12228100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12228100 is an abundant number, since it is smaller than the sum of its proper divisors (15871664).

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

12228100 is a wasteful number, since it uses less digits than its factorization.

12228100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7224 (or 7217 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 12228100 is about 3496.8700290403. The cubic root of 12228100 is about 230.3843604755.

The spelling of 12228100 in words is "twelve million, two hundred twenty-eight thousand, one hundred".