22821120 has 216 divisors, whose sum is σ = 90557376. Its totient is φ = 5197824.

The previous prime is 22821107. The next prime is 22821131. The reversal of 22821120 is 2112822.

It is a happy number.

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 = 22821093 and 22821102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80499 + ... + 80781.

Almost surely, 2^22821120 is an apocalyptic number.

22821120 is a gapful number since it is divisible by the number (20) 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 22821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45278688).

22821120 is an abundant number, since it is smaller than the sum of its proper divisors (67736256).

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

22821120 is a wasteful number, since it uses less digits than its factorization.

22821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 22821120 is about 4777.1455912501. The cubic root of 22821120 is about 283.6475161475.

Adding to 22821120 its reverse (2112822), we get a palindrome (24933942).

The spelling of 22821120 in words is "twenty-two million, eight hundred twenty-one thousand, one hundred twenty".