12641113110 has 64 divisors (see below), whose sum is σ = 31181644800. Its totient is φ = 3278575872.

The previous prime is 12641113087. The next prime is 12641113123. The reversal of 12641113110 is 1131114621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118986 + ... + 198594.

It is an arithmetic number, because the mean of its divisors is an integer number (487213200).

Almost surely, 2^12641113110 is an apocalyptic number.

12641113110 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 12641113110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15590822400).

12641113110 is an abundant number, since it is smaller than the sum of its proper divisors (18540531690).

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

12641113110 is a wasteful number, since it uses less digits than its factorization.

12641113110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79765.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 12641113110 its reverse (1131114621), we get a palindrome (13772227731).

It can be divided in two parts, 12641 and 113110, that added together give a triangular number (125751 = T₅₀₁).

The spelling of 12641113110 in words is "twelve billion, six hundred forty-one million, one hundred thirteen thousand, one hundred ten".