20002122212220 has 288 divisors, whose sum is σ = 61993351824768. Its totient is φ = 5219046383616.

The previous prime is 20002122212209. The next prime is 20002122212333. The reversal of 20002122212220 is 2221222120002.

20002122212220 is a `hidden beast` number, since 20 + 0 + 0 + 212 + 2 + 212 + 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 = 20002122212193 and 20002122212202.

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, 4027000177 + ... + 4027005143.

It is an arithmetic number, because the mean of its divisors is an integer number (215254693836).

Almost surely, 2^{20002122212220} is an apocalyptic number.

20002122212220 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 20002122212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30996675912384).

20002122212220 is an abundant number, since it is smaller than the sum of its proper divisors (41991229612548).

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

20002122212220 is a wasteful number, since it uses less digits than its factorization.

20002122212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7429 (or 7424 counting only the distinct ones).

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

Adding to 20002122212220 its reverse (2221222120002), we get a palindrome (22223344332222).

The spelling of 20002122212220 in words is "twenty trillion, two billion, one hundred twenty-two million, two hundred twelve thousand, two hundred twenty".