12244867200 has 672 divisors, whose sum is σ = 47175300900. Its totient is φ = 3135283200.

The previous prime is 12244867123. The next prime is 12244867207. The reversal of 12244867200 is 276844221.

12244867200 is a `hidden beast` number, since 1 + 2 + 2 + 448 + 6 + 7 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1179510336 + 11065356864 = 34344^2 + 105192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12244867207) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 67651110 + ... + 67651290.

Almost surely, 2^12244867200 is an apocalyptic number.

12244867200 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 12244867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587650450).

12244867200 is an abundant number, since it is smaller than the sum of its proper divisors (34930433700).

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

12244867200 is an equidigital number, since it uses as much as digits as its factorization.

12244867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 12244867200 in words is "twelve billion, two hundred forty-four million, eight hundred sixty-seven thousand, two hundred".