20212222001220 has 384 divisors, whose sum is σ = 64809360000000. Its totient is φ = 5226427514880.

The previous prime is 20212222001149. The next prime is 20212222001267. The reversal of 20212222001220 is 2210022221202.

20212222001220 is a `hidden beast` number, since 2 + 0 + 21 + 222 + 200 + 1 + 220 = 666.

It is a super-3 number, since 3×20212222001220³ (a number of 41 digits) contains 333 as substring.

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 = 20212222001193 and 20212222001202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5502917304 + ... + 5502920976.

It is an arithmetic number, because the mean of its divisors is an integer number (168774375000).

Almost surely, 2^{20212222001220} is an apocalyptic number.

20212222001220 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 20212222001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32404680000000).

20212222001220 is an abundant number, since it is smaller than the sum of its proper divisors (44597137998780).

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

20212222001220 is a wasteful number, since it uses less digits than its factorization.

20212222001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180 (or 5172 counting only the distinct ones).

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

Adding to 20212222001220 its reverse (2210022221202), we get a palindrome (22422244222422).

The spelling of 20212222001220 in words is "twenty trillion, two hundred twelve billion, two hundred twenty-two million, one thousand, two hundred twenty".