12660406920 has 768 divisors, whose sum is σ = 51627663360. Its totient is φ = 2729935872.

The previous prime is 12660406919. The next prime is 12660406921. The reversal of 12660406920 is 2960406621.

12660406920 is a `hidden beast` number, since 1 + 26 + 604 + 0 + 6 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12660406919) and next prime (12660406921).

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

It is not an unprimeable number, because it can be changed into a prime (12660406921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118321507 + ... + 118321613.

It is an arithmetic number, because the mean of its divisors is an integer number (67223520).

Almost surely, 2^12660406920 is an apocalyptic number.

12660406920 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 12660406920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25813831680).

12660406920 is an abundant number, since it is smaller than the sum of its proper divisors (38967256440).

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

12660406920 is a wasteful number, since it uses less digits than its factorization.

12660406920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12660406920 in words is "twelve billion, six hundred sixty million, four hundred six thousand, nine hundred twenty".