12660142080 has 624 divisors, whose sum is σ = 46349789184. Its totient is φ = 2941255680.

The previous prime is 12660142051. The next prime is 12660142109. The reversal of 12660142080 is 8024106621.

It is an interprime number because it is at equal distance from previous prime (12660142051) and next prime (12660142109).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408391665 + ... + 408391695.

Almost surely, 2^12660142080 is an apocalyptic number.

12660142080 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 12660142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23174894592).

12660142080 is an abundant number, since it is smaller than the sum of its proper divisors (33689647104).

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

12660142080 is a wasteful number, since it uses less digits than its factorization.

12660142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 12660142080 in words is "twelve billion, six hundred sixty million, one hundred forty-two thousand, eighty".