12962618016 has 96 divisors (see below), whose sum is σ = 34285104000. Its totient is φ = 4288204800.

The previous prime is 12962618003. The next prime is 12962618063. The reversal of 12962618016 is 61081626921.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11480940 + ... + 11482068.

It is an arithmetic number, because the mean of its divisors is an integer number (357136500).

Almost surely, 2^12962618016 is an apocalyptic number.

12962618016 is a gapful number since it is divisible by the number (16) 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 12962618016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17142552000).

12962618016 is an abundant number, since it is smaller than the sum of its proper divisors (21322485984).

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

12962618016 is a wasteful number, since it uses less digits than its factorization.

12962618016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 12962618016 in words is "twelve billion, nine hundred sixty-two million, six hundred eighteen thousand, sixteen".