12961367104 has 189 divisors, whose sum is σ = 31874887863. Its totient is φ = 5213327616.

The previous prime is 12961367093. The next prime is 12961367117. The reversal of 12961367104 is 40176316921.

The square root of 12961367104 is 113848.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 121134219 + ... + 121134325.

Almost surely, 2^12961367104 is an apocalyptic number.

12961367104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12961367104 is the 113848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12961367104

12961367104 is an abundant number, since it is smaller than the sum of its proper divisors (18913520759).

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

12961367104 is an equidigital number, since it uses as much as digits as its factorization.

12961367104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 12961367104 in words is "twelve billion, nine hundred sixty-one million, three hundred sixty-seven thousand, one hundred four".