22201242120 has 144 divisors (see below), whose sum is σ = 72873896940. Its totient is φ = 5861843712.

The previous prime is 22201242083. The next prime is 22201242137. The reversal of 22201242120 is 2124210222.

22201242120 is a `hidden beast` number, since 2 + 220 + 1 + 2 + 421 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22182527844 + 18714276 = 148938^2 + 4326^2 .

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 = 22201242093 and 22201242102.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3816334 + ... + 3822146.

Almost surely, 2^22201242120 is an apocalyptic number.

22201242120 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 22201242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36436948470).

22201242120 is an abundant number, since it is smaller than the sum of its proper divisors (50672654820).

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

22201242120 is a wasteful number, since it uses less digits than its factorization.

22201242120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6036 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22201242120 its reverse (2124210222), we get a palindrome (24325452342).

The spelling of 22201242120 in words is "twenty-two billion, two hundred one million, two hundred forty-two thousand, one hundred twenty".