12264100 has 36 divisors (see below), whose sum is σ = 27537300. Its totient is φ = 4735360.

The previous prime is 12264067. The next prime is 12264113. The reversal of 12264100 is 146221.

It can be written as a sum of positive squares in 6 ways, for example, as 649636 + 11614464 = 806^2 + 3408^2 .

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, 786 + ... + 5014.

It is an arithmetic number, because the mean of its divisors is an integer number (764925).

Almost surely, 2^12264100 is an apocalyptic number.

12264100 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 12264100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13768650).

12264100 is an abundant number, since it is smaller than the sum of its proper divisors (15273200).

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

12264100 is a wasteful number, since it uses less digits than its factorization.

12264100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 12264100 is about 3502.0137064266. The cubic root of 12264100 is about 230.6102257949.

Subtracting from 12264100 its product of nonzero digits (96), we obtain a square (12264004 = 3502²).

The spelling of 12264100 in words is "twelve million, two hundred sixty-four thousand, one hundred".