22142120 has 192 divisors, whose sum is σ = 68947200. Its totient is φ = 6289920.

The previous prime is 22142117. The next prime is 22142147. The reversal of 22142120 is 2124122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22142095 and 22142104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280241 + ... + 280319.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 2^22142120 is an apocalyptic number.

22142120 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 22142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34473600).

22142120 is an abundant number, since it is smaller than the sum of its proper divisors (46805080).

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

22142120 is a wasteful number, since it uses less digits than its factorization.

22142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 22142120 is about 4705.5414141202. The cubic root of 22142120 is about 280.8060109156.

Adding to 22142120 its reverse (2124122), we get a palindrome (24266242).

It can be divided in two parts, 2214 and 2120, that added together give a palindrome (4334).

The spelling of 22142120 in words is "twenty-two million, one hundred forty-two thousand, one hundred twenty".