12662226720 has 768 divisors, whose sum is σ = 52835328000. Its totient is φ = 2791895040.

The previous prime is 12662226719. The next prime is 12662226743. The reversal of 12662226720 is 2762226621.

12662226720 is a `hidden beast` number, since 1 + 2 + 6 + 622 + 2 + 6 + 7 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63629181 + ... + 63629379.

It is an arithmetic number, because the mean of its divisors is an integer number (68796000).

Almost surely, 2^12662226720 is an apocalyptic number.

12662226720 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 12662226720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664000).

12662226720 is an abundant number, since it is smaller than the sum of its proper divisors (40173101280).

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

12662226720 is a wasteful number, since it uses less digits than its factorization.

12662226720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Subtracting from 12662226720 its reverse (2762226621), we obtain a palindrome (9900000099).

The spelling of 12662226720 in words is "twelve billion, six hundred sixty-two million, two hundred twenty-six thousand, seven hundred twenty".