12266112 has 64 divisors (see below), whose sum is σ = 34516800. Its totient is φ = 3846144.

The previous prime is 12266071. The next prime is 12266123. The reversal of 12266112 is 21166221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5589 + ... + 7467.

It is an arithmetic number, because the mean of its divisors is an integer number (539325).

Almost surely, 2^12266112 is an apocalyptic number.

12266112 is a gapful number since it is divisible by the number (12) 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 12266112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17258400).

12266112 is an abundant number, since it is smaller than the sum of its proper divisors (22250688).

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

12266112 is a wasteful number, since it uses less digits than its factorization.

12266112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1901 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 12266112 is about 3502.3009579418. The cubic root of 12266112 is about 230.6228361075.

The spelling of 12266112 in words is "twelve million, two hundred sixty-six thousand, one hundred twelve".