12200400 has 90 divisors (see below), whose sum is σ = 42351270. Its totient is φ = 3252480.

The previous prime is 12200399. The next prime is 12200431. The reversal of 12200400 is 400221.

It can be written as a sum of positive squares in 3 ways, for example, as 3415104 + 8785296 = 1848^2 + 2964^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1906 + ... + 5294.

Almost surely, 2^12200400 is an apocalyptic number.

12200400 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 12200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21175635).

12200400 is an abundant number, since it is smaller than the sum of its proper divisors (30150870).

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

12200400 is a wasteful number, since it uses less digits than its factorization.

12200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 12200400 is about 3492.9070986787. The cubic root of 12200400 is about 230.2102677005.

Adding to 12200400 its reverse (400221), we get a palindrome (12600621).

The spelling of 12200400 in words is "twelve million, two hundred thousand, four hundred".