12946002432 has 320 divisors, whose sum is σ = 39097783296. Its totient is φ = 3772661760.

The previous prime is 12946002413. The next prime is 12946002451. The reversal of 12946002432 is 23420064921.

It is an interprime number because it is at equal distance from previous prime (12946002413) and next prime (12946002451).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 12946002393 and 12946002402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74832298 + ... + 74832470.

Almost surely, 2^12946002432 is an apocalyptic number.

12946002432 is a gapful number since it is divisible by the number (12) 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 12946002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19548891648).

12946002432 is an abundant number, since it is smaller than the sum of its proper divisors (26151780864).

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

12946002432 is a wasteful number, since it uses less digits than its factorization.

12946002432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 12946002432 in words is "twelve billion, nine hundred forty-six million, two thousand, four hundred thirty-two".