22122120020220 has 288 divisors, whose sum is σ = 77567341715136. Its totient is φ = 5043752140800.

The previous prime is 22122120020201. The next prime is 22122120020281. The reversal of 22122120020220 is 2202002122122.

22122120020220 is a `hidden beast` number, since 2 + 2 + 1 + 221 + 200 + 20 + 220 = 666.

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 = 22122120020193 and 22122120020202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45569812 + ... + 46052708.

It is an arithmetic number, because the mean of its divisors is an integer number (269331047622).

Almost surely, 2^{22122120020220} is an apocalyptic number.

22122120020220 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 22122120020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38783670857568).

22122120020220 is an abundant number, since it is smaller than the sum of its proper divisors (55445221694916).

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

22122120020220 is a wasteful number, since it uses less digits than its factorization.

22122120020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484301 (or 484296 counting only the distinct ones).

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

Adding to 22122120020220 its reverse (2202002122122), we get a palindrome (24324122142342).

The spelling of 22122120020220 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred twenty million, twenty thousand, two hundred twenty".