12266217600 has 768 divisors, whose sum is σ = 52413312000. Its totient is φ = 2448506880.

The previous prime is 12266217589. The next prime is 12266217629. The reversal of 12266217600 is 671266221.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16598031 + ... + 16598769.

It is an arithmetic number, because the mean of its divisors is an integer number (68246500).

Almost surely, 2^12266217600 is an apocalyptic number.

12266217600 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 12266217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26206656000).

12266217600 is an abundant number, since it is smaller than the sum of its proper divisors (40147094400).

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

12266217600 is a wasteful number, since it uses less digits than its factorization.

12266217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 12266217600 in words is "twelve billion, two hundred sixty-six million, two hundred seventeen thousand, six hundred".