12251144000 has 112 divisors (see below), whose sum is σ = 31160709840. Its totient is φ = 4767897600.

The previous prime is 12251143981. The next prime is 12251144023. The reversal of 12251144000 is 44115221.

It is a happy number.

12251144000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 899520064 + 11351623936 = 29992^2 + 106544^2 .

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275306 + ... + 316694.

Almost surely, 2^12251144000 is an apocalyptic number.

12251144000 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 12251144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15580354920).

12251144000 is an abundant number, since it is smaller than the sum of its proper divisors (18909565840).

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

12251144000 is an equidigital number, since it uses as much as digits as its factorization.

12251144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41453 (or 41433 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 12251144000 its reverse (44115221), we get a palindrome (12295259221).

The spelling of 12251144000 in words is "twelve billion, two hundred fifty-one million, one hundred forty-four thousand".