22641420120 has 128 divisors (see below), whose sum is σ = 75114570240. Its totient is φ = 5413616640.

The previous prime is 22641420083. The next prime is 22641420143. The reversal of 22641420120 is 2102414622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 21124 + ... + 213843.

It is an arithmetic number, because the mean of its divisors is an integer number (586832580).

Almost surely, 2^22641420120 is an apocalyptic number.

22641420120 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 22641420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37557285120).

22641420120 is an abundant number, since it is smaller than the sum of its proper divisors (52473150120).

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

22641420120 is a wasteful number, since it uses less digits than its factorization.

22641420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235065 (or 235061 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22641420120 its reverse (2102414622), we get a palindrome (24743834742).

The spelling of 22641420120 in words is "twenty-two billion, six hundred forty-one million, four hundred twenty thousand, one hundred twenty".