12947513040 has 900 divisors, whose sum is σ = 57668879268. Its totient is φ = 2682408960.

The previous prime is 12947513023. The next prime is 12947513057. The reversal of 12947513040 is 4031574921.

12947513040 is a `hidden beast` number, since 12 + 9 + 475 + 130 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (12947513023) and next prime (12947513057).

It can be written as a sum of positive squares in 2 ways, for example, as 4064827536 + 8882685504 = 63756^2 + 94248^2 .

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 = 12947512986 and 12947513004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 38419752 + ... + 38420088.

Almost surely, 2^12947513040 is an apocalyptic number.

12947513040 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 12947513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28834439634).

12947513040 is an abundant number, since it is smaller than the sum of its proper divisors (44721366228).

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

12947513040 is a wasteful number, since it uses less digits than its factorization.

12947513040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12947513040 in words is "twelve billion, nine hundred forty-seven million, five hundred thirteen thousand, forty".