12946390512 has 120 divisors (see below), whose sum is σ = 38141392128. Its totient is φ = 3752496000.

The previous prime is 12946390447. The next prime is 12946390573. The reversal of 12946390512 is 21509364921.

12946390512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256137 + ... + 302487.

Almost surely, 2^12946390512 is an apocalyptic number.

12946390512 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 12946390512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19070696064).

12946390512 is an abundant number, since it is smaller than the sum of its proper divisors (25195001616).

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

12946390512 is a wasteful number, since it uses less digits than its factorization.

12946390512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46419 (or 46390 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 12946390512 in words is "twelve billion, nine hundred forty-six million, three hundred ninety thousand, five hundred twelve".