12962735136 has 72 divisors (see below), whose sum is σ = 39698387820. Its totient is φ = 3988532736.

The previous prime is 12962735131. The next prime is 12962735189. The reversal of 12962735136 is 63153726921.

12962735136 is a `hidden beast` number, since 1 + 2 + 9 + 62 + 73 + 513 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9651883536 + 3310851600 = 98244^2 + 57540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 12962735091 and 12962735100.

It is not an unprimeable number, because it can be changed into a prime (12962735131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1727391 + ... + 1734878.

Almost surely, 2^12962735136 is an apocalyptic number.

12962735136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12962735136 is an abundant number, since it is smaller than the sum of its proper divisors (26735652684).

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

12962735136 is a wasteful number, since it uses less digits than its factorization.

12962735136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462298 (or 3462287 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 12962735136 in words is "twelve billion, nine hundred sixty-two million, seven hundred thirty-five thousand, one hundred thirty-six".