22001022120 has 256 divisors, whose sum is σ = 83686348800. Its totient is φ = 4494044160.

The previous prime is 22001022079. The next prime is 22001022151. The reversal of 22001022120 is 2122010022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22001022096 and 22001022105.

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 63 ways as a sum of consecutive naturals, for example, 524982 + ... + 565338.

It is an arithmetic number, because the mean of its divisors is an integer number (326899800).

Almost surely, 2^22001022120 is an apocalyptic number.

22001022120 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 22001022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41843174400).

22001022120 is an abundant number, since it is smaller than the sum of its proper divisors (61685326680).

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

22001022120 is a wasteful number, since it uses less digits than its factorization.

22001022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40448 (or 40444 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22001022120 its reverse (2122010022), we get a palindrome (24123032142).

The spelling of 22001022120 in words is "twenty-two billion, one million, twenty-two thousand, one hundred twenty".