12961300110 has 256 divisors, whose sum is σ = 36628070400. Its totient is φ = 2902348800.

The previous prime is 12961300103. The next prime is 12961300141. The reversal of 12961300110 is 1100316921.

12961300110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 67860115 + ... + 67860305.

It is an arithmetic number, because the mean of its divisors is an integer number (143078400).

Almost surely, 2^12961300110 is an apocalyptic number.

12961300110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12961300110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18314035200).

12961300110 is an abundant number, since it is smaller than the sum of its proper divisors (23666770290).

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

12961300110 is a wasteful number, since it uses less digits than its factorization.

12961300110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447.

The product of its (nonzero) digits is 324, while the sum is 24.

The spelling of 12961300110 in words is "twelve billion, nine hundred sixty-one million, three hundred thousand, one hundred ten".