12533400 has 192 divisors, whose sum is σ = 47318400. Its totient is φ = 3024000.

The previous prime is 12533377. The next prime is 12533441. The reversal of 12533400 is 433521.

It is a super-2 number, since 2×12533400² = 314172231120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59295 + ... + 59505.

It is an arithmetic number, because the mean of its divisors is an integer number (246450).

Almost surely, 2^12533400 is an apocalyptic number.

12533400 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 12533400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23659200).

12533400 is an abundant number, since it is smaller than the sum of its proper divisors (34785000).

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

12533400 is a wasteful number, since it uses less digits than its factorization.

12533400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 12533400 is about 3540.2542281593. The cubic root of 12533400 is about 232.2859632705.

Adding to 12533400 its reverse (433521), we get a palindrome (12966921).

The spelling of 12533400 in words is "twelve million, five hundred thirty-three thousand, four hundred".