2000221212220 has 288 divisors, whose sum is σ = 5324185520640. Its totient is φ = 617850816000.

The previous prime is 2000221212169. The next prime is 2000221212239. The reversal of 2000221212220 is 222121220002.

It is a junction number, because it is equal to n+sod(n) for n = 2000221212194 and 2000221212203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1052193270 + ... + 1052195170.

It is an arithmetic number, because the mean of its divisors is an integer number (18486755280).

Almost surely, 2^{2000221212220} is an apocalyptic number.

2000221212220 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 2000221212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662092760320).

2000221212220 is an abundant number, since it is smaller than the sum of its proper divisors (3323964308420).

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

2000221212220 is a wasteful number, since it uses less digits than its factorization.

2000221212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2000221212220 its reverse (222121220002), we get a palindrome (2222342432222).

The spelling of 2000221212220 in words is "two trillion, two hundred twenty-one million, two hundred twelve thousand, two hundred twenty".