12912347731440 has 320 divisors, whose sum is σ = 41903848267776. Its totient is φ = 3285601652736.

The previous prime is 12912347731417. The next prime is 12912347731499. The reversal of 12912347731440 is 4413774321921.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12912347731440.

It is a congruent number.

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, 1490512549 + ... + 1490521211.

Almost surely, 2^{12912347731440} is an apocalyptic number.

12912347731440 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 12912347731440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20951924133888).

12912347731440 is an abundant number, since it is smaller than the sum of its proper divisors (28991500536336).

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

12912347731440 is a wasteful number, since it uses less digits than its factorization.

12912347731440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11936 (or 11930 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 12912347731440 in words is "twelve trillion, nine hundred twelve billion, three hundred forty-seven million, seven hundred thirty-one thousand, four hundred forty".