22722120 has 80 divisors (see below), whose sum is σ = 76382460. Its totient is φ = 6058368.

The previous prime is 22722113. The next prime is 22722127. The reversal of 22722120 is 2122722.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22722113) and next prime (22722127).

It can be written as a sum of positive squares in 2 ways, for example, as 22410756 + 311364 = 4734^2 + 558^2 .

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 = 22722093 and 22722102.

It is not an unprimeable number, because it can be changed into a prime (22722127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 267 + ... + 6746.

Almost surely, 2^22722120 is an apocalyptic number.

22722120 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 22722120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38191230).

22722120 is an abundant number, since it is smaller than the sum of its proper divisors (53660340).

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

22722120 is a wasteful number, since it uses less digits than its factorization.

22722120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7036 (or 7023 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 22722120 is about 4766.7724929978. The cubic root of 22722120 is about 283.2367590895.

Adding to 22722120 its reverse (2122722), we get a palindrome (24844842).

The spelling of 22722120 in words is "twenty-two million, seven hundred twenty-two thousand, one hundred twenty".