12320400 has 60 divisors (see below), whose sum is σ = 39470192. Its totient is φ = 3285120.

The previous prime is 12320369. The next prime is 12320401. The reversal of 12320400 is 402321.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12320401) 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, 3934 + ... + 6333.

Almost surely, 2^12320400 is an apocalyptic number.

12320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320400 is an abundant number, since it is smaller than the sum of its proper divisors (27149792).

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

12320400 is a wasteful number, since it uses less digits than its factorization.

12320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10288 (or 10277 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12320400 is about 3510.0427347826. The cubic root of 12320400 is about 230.9625695991.

Adding to 12320400 its reverse (402321), we get a palindrome (12722721).

It can be divided in two parts, 12320 and 400, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 12320400 in words is "twelve million, three hundred twenty thousand, four hundred".