22335120 has 120 divisors (see below), whose sum is σ = 76292736. Its totient is φ = 5854464.

The previous prime is 22335091. The next prime is 22335121. The reversal of 22335120 is 2153322.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 22335093 and 22335102.

It is not an unprimeable number, because it can be changed into a prime (22335121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48009 + ... + 48471.

Almost surely, 2^22335120 is an apocalyptic number.

22335120 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 22335120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38146368).

22335120 is an abundant number, since it is smaller than the sum of its proper divisors (53957616).

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

22335120 is a wasteful number, since it uses less digits than its factorization.

22335120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 22335120 is about 4726.0046550972. The cubic root of 22335120 is about 281.6195261297.

Adding to 22335120 its reverse (2153322), we get a palindrome (24488442).

The spelling of 22335120 in words is "twenty-two million, three hundred thirty-five thousand, one hundred twenty".