12296125440 has 264 divisors, whose sum is σ = 42784101360. Its totient is φ = 3265265664.

The previous prime is 12296125433. The next prime is 12296125441. The reversal of 12296125440 is 4452169221.

It is a happy number.

12296125440 is a `hidden beast` number, since 1 + 2 + 2 + 96 + 125 + 440 = 666.

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 = 12296125395 and 12296125404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12296125441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15989376 + ... + 15990144.

It is an arithmetic number, because the mean of its divisors is an integer number (162060990).

Almost surely, 2^12296125440 is an apocalyptic number.

12296125440 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 12296125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21392050680).

12296125440 is an abundant number, since it is smaller than the sum of its proper divisors (30487975920).

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

12296125440 is a wasteful number, since it uses less digits than its factorization.

12296125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12296125440 in words is "twelve billion, two hundred ninety-six million, one hundred twenty-five thousand, four hundred forty".