12533100 has 36 divisors (see below), whose sum is σ = 36263304. Its totient is φ = 3342080.

The previous prime is 12533099. The next prime is 12533111. The reversal of 12533100 is 133521.

It is a happy number.

It is a super-2 number, since 2×12533100² = 314157191220000, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12533100.

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, 20589 + ... + 21188.

It is an arithmetic number, because the mean of its divisors is an integer number (1007314).

Almost surely, 2^12533100 is an apocalyptic number.

12533100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12533100 is an abundant number, since it is smaller than the sum of its proper divisors (23730204).

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

12533100 is a wasteful number, since it uses less digits than its factorization.

12533100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41794 (or 41787 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 12533100 is about 3540.2118580673. The cubic root of 12533100 is about 232.2841099202.

Adding to 12533100 its reverse (133521), we get a palindrome (12666621).

The spelling of 12533100 in words is "twelve million, five hundred thirty-three thousand, one hundred".