12532400 has 120 divisors (see below), whose sum is σ = 33904080. Its totient is φ = 4423680.

The previous prime is 12532397. The next prime is 12532439. The reversal of 12532400 is 423521.

12532400 = T₁₀₁ + T₁₀₂ + ... + T₄₂₃.

It is a super-2 number, since 2×12532400² = 314122099520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129152 + ... + 129248.

It is an arithmetic number, because the mean of its divisors is an integer number (282534).

Almost surely, 2^12532400 is an apocalyptic number.

12532400 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 12532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16952040).

12532400 is an abundant number, since it is smaller than the sum of its proper divisors (21371680).

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

12532400 is a wasteful number, since it uses less digits than its factorization.

12532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 12532400 is about 3540.1129925470. The cubic root of 12532400 is about 232.2797853209.

Adding to 12532400 its reverse (423521), we get a palindrome (12955921).

The spelling of 12532400 in words is "twelve million, five hundred thirty-two thousand, four hundred".