1224200400 has 120 divisors (see below), whose sum is σ = 4127994720. Its totient is φ = 309265920.

The previous prime is 1224200387. The next prime is 1224200479. The reversal of 1224200400 is 40024221.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1224200400.

It is a congruent number.

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, 4047 + ... + 49646.

It is an arithmetic number, because the mean of its divisors is an integer number (34399956).

Almost surely, 2^1224200400 is an apocalyptic number.

1224200400 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 1224200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063997360).

1224200400 is an abundant number, since it is smaller than the sum of its proper divisors (2903794320).

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

1224200400 is a wasteful number, since it uses less digits than its factorization.

1224200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53733 (or 53722 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1224200400 is about 34988.5752782247. The cubic root of 1224200400 is about 1069.7546239097.

Adding to 1224200400 its reverse (40024221), we get a palindrome (1264224621).

The spelling of 1224200400 in words is "one billion, two hundred twenty-four million, two hundred thousand, four hundred".