12661134624 has 120 divisors (see below), whose sum is σ = 37846944828. Its totient is φ = 4151139840.

The previous prime is 12661134623. The next prime is 12661134637. The reversal of 12661134624 is 42643116621.

12661134624 is a `hidden beast` number, since 1 + 2 + 6 + 611 + 34 + 6 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11378062224 + 1283072400 = 106668^2 + 35820^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12661134623) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118074 + ... + 198150.

Almost surely, 2^12661134624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12661134624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18923472414).

12661134624 is an abundant number, since it is smaller than the sum of its proper divisors (25185810204).

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

12661134624 is an equidigital number, since it uses as much as digits as its factorization.

12661134624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80160 (or 80143 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 12661134624 in words is "twelve billion, six hundred sixty-one million, one hundred thirty-four thousand, six hundred twenty-four".