22407120 has 60 divisors (see below), whose sum is σ = 75252996. Its totient is φ = 5975040.

The previous prime is 22407029. The next prime is 22407149. The reversal of 22407120 is 2170422.

It can be written as a sum of positive squares in 2 ways, for example, as 9960336 + 12446784 = 3156^2 + 3528^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 = 22407093 and 22407102.

It is a congruent number.

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, 14841 + ... + 16280.

Almost surely, 2^22407120 is an apocalyptic number.

22407120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22407120 is an abundant number, since it is smaller than the sum of its proper divisors (52845876).

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

22407120 is a wasteful number, since it uses less digits than its factorization.

22407120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31140 (or 31131 counting only the distinct ones).

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

The square root of 22407120 is about 4733.6159540039. The cubic root of 22407120 is about 281.9218132419.

Adding to 22407120 its reverse (2170422), we get a palindrome (24577542).

The spelling of 22407120 in words is "twenty-two million, four hundred seven thousand, one hundred twenty".