22212120 has 128 divisors (see below), whose sum is σ = 78704640. Its totient is φ = 4907520.

The previous prime is 22212109. The next prime is 22212131. The reversal of 22212120 is 2121222.

It is an interprime number because it is at equal distance from previous prime (22212109) and next prime (22212131).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22212096 and 22212105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25614 + ... + 26466.

It is an arithmetic number, because the mean of its divisors is an integer number (614880).

Almost surely, 2^22212120 is an apocalyptic number.

22212120 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 22212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39352320).

22212120 is an abundant number, since it is smaller than the sum of its proper divisors (56492520).

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

22212120 is a wasteful number, since it uses less digits than its factorization.

22212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 22212120 is about 4712.9735836306. The cubic root of 22212120 is about 281.1016125888.

Adding to 22212120 its reverse (2121222), we get a palindrome (24333342).

It can be divided in two parts, 2 and 2212120, that added together give a palindrome (2212122).

The spelling of 22212120 in words is "twenty-two million, two hundred twelve thousand, one hundred twenty".