12266753600 has 84 divisors (see below), whose sum is σ = 30215183664. Its totient is φ = 4901614080.

The previous prime is 12266753573. The next prime is 12266753623. The reversal of 12266753600 is 635766221.

12266753600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12266753600² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1793387 + ... + 1800213.

Almost surely, 2^12266753600 is an apocalyptic number.

12266753600 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 12266753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15107591832).

12266753600 is an abundant number, since it is smaller than the sum of its proper divisors (17948430064).

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

12266753600 is a wasteful number, since it uses less digits than its factorization.

12266753600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7972 (or 7957 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 12266753600 in words is "twelve billion, two hundred sixty-six million, seven hundred fifty-three thousand, six hundred".