22260201120 has 144 divisors (see below), whose sum is σ = 76298695200. Its totient is φ = 5909816832.

The previous prime is 22260201107. The next prime is 22260201137. The reversal of 22260201120 is 2110206222.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 22260201093 and 22260201102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292831 + ... + 360929.

It is an arithmetic number, because the mean of its divisors is an integer number (529852050).

Almost surely, 2^22260201120 is an apocalyptic number.

22260201120 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 22260201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38149347600).

22260201120 is an abundant number, since it is smaller than the sum of its proper divisors (54038494080).

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

22260201120 is a wasteful number, since it uses less digits than its factorization.

22260201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68347 (or 68336 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22260201120 its reverse (2110206222), we get a palindrome (24370407342).

The spelling of 22260201120 in words is "twenty-two billion, two hundred sixty million, two hundred one thousand, one hundred twenty".