12266104800 has 288 divisors, whose sum is σ = 41607336960. Its totient is φ = 3135283200.

The previous prime is 12266104789. The next prime is 12266104801. The reversal of 12266104800 is 840166221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12266104801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8406471 + ... + 8407929.

It is an arithmetic number, because the mean of its divisors is an integer number (144469920).

Almost surely, 2^12266104800 is an apocalyptic number.

12266104800 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 12266104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20803668480).

12266104800 is an abundant number, since it is smaller than the sum of its proper divisors (29341232160).

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

12266104800 is a wasteful number, since it uses less digits than its factorization.

12266104800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1613 counting only the distinct ones).

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

The spelling of 12266104800 in words is "twelve billion, two hundred sixty-six million, one hundred four thousand, eight hundred".