12462800 has 60 divisors (see below), whose sum is σ = 34226976. Its totient is φ = 4272000.

The previous prime is 12462787. The next prime is 12462809. The reversal of 12462800 is 826421.

12462800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12462809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 575 + ... + 5025.

Almost surely, 2^12462800 is an apocalyptic number.

12462800 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 12462800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17113488).

12462800 is an abundant number, since it is smaller than the sum of its proper divisors (21764176).

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

12462800 is a wasteful number, since it uses less digits than its factorization.

12462800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4476 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 12462800 is about 3530.2691115551. The cubic root of 12462800 is about 231.8489901151.

The spelling of 12462800 in words is "twelve million, four hundred sixty-two thousand, eight hundred".