12661633140 has 192 divisors, whose sum is σ = 38773002240. Its totient is φ = 3068674560.

The previous prime is 12661633129. The next prime is 12661633157. The reversal of 12661633140 is 4133616621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17609701 + ... + 17610419.

It is an arithmetic number, because the mean of its divisors is an integer number (201942720).

Almost surely, 2^12661633140 is an apocalyptic number.

12661633140 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 12661633140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19386501120).

12661633140 is an abundant number, since it is smaller than the sum of its proper divisors (26111369100).

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

12661633140 is a wasteful number, since it uses less digits than its factorization.

12661633140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 12661633140 in words is "twelve billion, six hundred sixty-one million, six hundred thirty-three thousand, one hundred forty".