12254336640 has 512 divisors, whose sum is σ = 53423193600. Its totient is φ = 2585198592.

The previous prime is 12254336617. The next prime is 12254336651. The reversal of 12254336640 is 4663345221.

12254336640 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 4 + 3 + 3 + 6 + 640 = 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 = 12254336595 and 12254336604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1568584 + ... + 1576376.

It is an arithmetic number, because the mean of its divisors is an integer number (104342175).

Almost surely, 2^12254336640 is an apocalyptic number.

12254336640 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 12254336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26711596800).

12254336640 is an abundant number, since it is smaller than the sum of its proper divisors (41168856960).

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

12254336640 is a wasteful number, since it uses less digits than its factorization.

12254336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7841 (or 7823 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 12254336640 in words is "twelve billion, two hundred fifty-four million, three hundred thirty-six thousand, six hundred forty".