11221920 has 72 divisors (see below), whose sum is σ = 38299716. Its totient is φ = 2992128.

The previous prime is 11221919. The next prime is 11221933. The reversal of 11221920 is 2912211.

11221920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10575504 + 646416 = 3252^2 + 804^2 .

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 junction number, because it is equal to n+sod(n) for n = 11221893 and 11221902.

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, 2457 + ... + 5336.

Almost surely, 2^11221920 is an apocalyptic number.

11221920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221920 is an abundant number, since it is smaller than the sum of its proper divisors (27077796).

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

11221920 is a wasteful number, since it uses less digits than its factorization.

11221920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7814 (or 7803 counting only the distinct ones).

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

The square root of 11221920 is about 3349.9134317173. The cubic root of 11221920 is about 223.8836555682.

The spelling of 11221920 in words is "eleven million, two hundred twenty-one thousand, nine hundred twenty".