11225952 has 120 divisors (see below), whose sum is σ = 34029072. Its totient is φ = 3628800.

The previous prime is 11225947. The next prime is 11225953. The reversal of 11225952 is 25952211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11225953) 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 19 ways as a sum of consecutive naturals, for example, 158077 + ... + 158147.

Almost surely, 2^11225952 is an apocalyptic number.

11225952 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 11225952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17014536).

11225952 is an abundant number, since it is smaller than the sum of its proper divisors (22803120).

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

11225952 is an equidigital number, since it uses as much as digits as its factorization.

11225952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 11225952 is about 3350.5151842664. The cubic root of 11225952 is about 223.9104659182.

The spelling of 11225952 in words is "eleven million, two hundred twenty-five thousand, nine hundred fifty-two".