12400212244200 has 192 divisors, whose sum is σ = 41941132024320. Its totient is φ = 3005691360000.

The previous prime is 12400212244187. The next prime is 12400212244213. The reversal of 12400212244200 is 244221200421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12400212244187) and next prime (12400212244213).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48388807 + ... + 48644393.

It is an arithmetic number, because the mean of its divisors is an integer number (218443395960).

Almost surely, 2^{12400212244200} is an apocalyptic number.

12400212244200 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 12400212244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20970566012160).

12400212244200 is an abundant number, since it is smaller than the sum of its proper divisors (29540919780120).

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

12400212244200 is a wasteful number, since it uses less digits than its factorization.

12400212244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262968 (or 262959 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12400212244200 its reverse (244221200421), we get a palindrome (12644433444621).

The spelling of 12400212244200 in words is "twelve trillion, four hundred billion, two hundred twelve million, two hundred forty-four thousand, two hundred".