11274912 has 72 divisors (see below), whose sum is σ = 34987680. Its totient is φ = 3415680.

The previous prime is 11274889. The next prime is 11274919. The reversal of 11274912 is 21947211.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (11274919) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1389 + ... + 4947.

It is an arithmetic number, because the mean of its divisors is an integer number (485940).

Almost surely, 2^11274912 is an apocalyptic number.

11274912 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 11274912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17493840).

11274912 is an abundant number, since it is smaller than the sum of its proper divisors (23712768).

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

11274912 is a wasteful number, since it uses less digits than its factorization.

11274912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586 (or 3575 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 11274912 is about 3357.8135743367. The cubic root of 11274912 is about 224.2355091064.

The spelling of 11274912 in words is "eleven million, two hundred seventy-four thousand, nine hundred twelve".