12962887002 has 128 divisors (see below), whose sum is σ = 31556958720. Its totient is φ = 3969352512.

The previous prime is 12962886961. The next prime is 12962887037. The reversal of 12962887002 is 20078826921.

12962887002 is a `hidden beast` number, since 12 + 9 + 628 + 8 + 7 + 0 + 0 + 2 = 666.

12962887002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 15750363 + ... + 15751185.

It is an arithmetic number, because the mean of its divisors is an integer number (246538740).

Almost surely, 2^12962887002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12962887002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15778479360).

12962887002 is an abundant number, since it is smaller than the sum of its proper divisors (18594071718).

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

12962887002 is an equidigital number, since it uses as much as digits as its factorization.

12962887002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12962887002 in words is "twelve billion, nine hundred sixty-two million, eight hundred eighty-seven thousand, two".