220022101200 has 240 divisors, whose sum is σ = 783386842176. Its totient is φ = 52332134400.

The previous prime is 220022101181. The next prime is 220022101213. The reversal of 220022101200 is 2101220022.

220022101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 542352 + ... + 856848.

Almost surely, 2^220022101200 is an apocalyptic number.

220022101200 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 220022101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391693421088).

220022101200 is an abundant number, since it is smaller than the sum of its proper divisors (563364740976).

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

220022101200 is a wasteful number, since it uses less digits than its factorization.

220022101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314582 (or 314571 counting only the distinct ones).

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

Adding to 220022101200 its reverse (2101220022), we get a palindrome (222123321222).

The spelling of 220022101200 in words is "two hundred twenty billion, twenty-two million, one hundred one thousand, two hundred".