1122912 has 72 divisors (see below), whose sum is σ = 3656016. Its totient is φ = 320256.

The previous prime is 1122899. The next prime is 1122923. The reversal of 1122912 is 2192211.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1738 + ... + 2294.

It is an arithmetic number, because the mean of its divisors is an integer number (50778).

2^1122912 is an apocalyptic number.

1122912 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 1122912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828008).

1122912 is an abundant number, since it is smaller than the sum of its proper divisors (2533104).

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

1122912 is a wasteful number, since it uses less digits than its factorization.

1122912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 569 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 1122912 is about 1059.6754220043. The cubic root of 1122912 is about 103.9398073778.

The spelling of 1122912 in words is "one million, one hundred twenty-two thousand, nine hundred twelve".