12661233405160 has 128 divisors (see below), whose sum is σ = 30190747680000. Its totient is φ = 4769197920256.

The previous prime is 12661233405157. The next prime is 12661233405221. The reversal of 12661233405160 is 6150433216621.

12661233405160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 15081351 + ... + 15898729.

It is an arithmetic number, because the mean of its divisors is an integer number (235865216250).

Almost surely, 2^{12661233405160} is an apocalyptic number.

12661233405160 is a gapful number since it is divisible by the number (10) 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 12661233405160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095373840000).

12661233405160 is an abundant number, since it is smaller than the sum of its proper divisors (17529514274840).

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

12661233405160 is a wasteful number, since it uses less digits than its factorization.

12661233405160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817675 (or 817671 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 12661233405160 in words is "twelve trillion, six hundred sixty-one billion, two hundred thirty-three million, four hundred five thousand, one hundred sixty".