12922736640 has 208 divisors, whose sum is σ = 45108950976. Its totient is φ = 3132620800.

The previous prime is 12922736639. The next prime is 12922736641. The reversal of 12922736640 is 4663722921.

It is an interprime number because it is at equal distance from previous prime (12922736639) and next prime (12922736641).

It is a junction number, because it is equal to n+sod(n) for n = 12922736592 and 12922736601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12922736641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666280 + ... + 685400.

Almost surely, 2^12922736640 is an apocalyptic number.

12922736640 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 12922736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22554475488).

12922736640 is an abundant number, since it is smaller than the sum of its proper divisors (32186214336).

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

12922736640 is a wasteful number, since it uses less digits than its factorization.

12922736640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19164 (or 19142 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 12922736640 in words is "twelve billion, nine hundred twenty-two million, seven hundred thirty-six thousand, six hundred forty".