12321400 has 96 divisors (see below), whose sum is σ = 35310240. Its totient is φ = 3893760.

The previous prime is 12321391. The next prime is 12321401. The reversal of 12321400 is 412321.

12321400 = 690² + 691² + ... + 714².

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17862 + ... + 18538.

It is an arithmetic number, because the mean of its divisors is an integer number (367815).

Almost surely, 2^12321400 is an apocalyptic number.

12321400 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 12321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17655120).

12321400 is an abundant number, since it is smaller than the sum of its proper divisors (22988840).

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

12321400 is a wasteful number, since it uses less digits than its factorization.

12321400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 12321400 is about 3510.1851803003. The cubic root of 12321400 is about 230.9688182145.

Adding to 12321400 its reverse (412321), we get a palindrome (12733721).

It can be divided in two parts, 12321 and 400, that multiplied together give a square (4928400 = 2220²).

The spelling of 12321400 in words is "twelve million, three hundred twenty-one thousand, four hundred".