12251833344 has 99 divisors (see below), whose sum is σ = 35407611993. Its totient is φ = 4080402432.

The previous prime is 12251833333. The next prime is 12251833379. The reversal of 12251833344 is 44333815221.

The square root of 12251833344 is 110688.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9682560000 + 2569273344 = 98400^2 + 50688^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12251833299 and 12251833308.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10625472 + ... + 10626624.

Almost surely, 2^12251833344 is an apocalyptic number.

12251833344 is the 110688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12251833344

12251833344 is an abundant number, since it is smaller than the sum of its proper divisors (23155778649).

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

12251833344 is an frugal number, since it uses more digits than its factorization.

12251833344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 1158 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Multiplying 12251833344 by its sum of digits (36), we get a square (441066000384 = 664128²).

12251833344 divided by its sum of digits (36) gives a square (340328704 = 18448²).

The spelling of 12251833344 in words is "twelve billion, two hundred fifty-one million, eight hundred thirty-three thousand, three hundred forty-four".