11742912 has 168 divisors, whose sum is σ = 37642800. Its totient is φ = 3483648.

The previous prime is 11742911. The next prime is 11742959. The reversal of 11742912 is 21924711.

It is not an unprimeable number, because it can be changed into a prime (11742911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317358 + ... + 317394.

Almost surely, 2^11742912 is an apocalyptic number.

11742912 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 11742912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18821400).

11742912 is an abundant number, since it is smaller than the sum of its proper divisors (25899888).

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

11742912 is a wasteful number, since it uses less digits than its factorization.

11742912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 90 counting only the distinct ones).

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

The square root of 11742912 is about 3426.7932531742. The cubic root of 11742912 is about 227.2960745566.

The spelling of 11742912 in words is "eleven million, seven hundred forty-two thousand, nine hundred twelve".