12251043200 has 384 divisors, whose sum is σ = 35652182400. Its totient is φ = 4109926400.

The previous prime is 12251043179. The next prime is 12251043221. The reversal of 12251043200 is 234015221.

It is an interprime number because it is at equal distance from previous prime (12251043179) and next prime (12251043221).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35305427 + ... + 35305773.

It is an arithmetic number, because the mean of its divisors is an integer number (92844225).

Almost surely, 2^12251043200 is an apocalyptic number.

12251043200 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 12251043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17826091200).

12251043200 is an abundant number, since it is smaller than the sum of its proper divisors (23401139200).

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

12251043200 is a wasteful number, since it uses less digits than its factorization.

12251043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 12251043200 its reverse (234015221), we get a palindrome (12485058421).

The spelling of 12251043200 in words is "twelve billion, two hundred fifty-one million, forty-three thousand, two hundred".