220212000212022 has 192 divisors, whose sum is σ = 604331533338624. Its totient is φ = 56393121818880.

The previous prime is 220212000211993. The next prime is 220212000212047.

220212000212022 is a `hidden beast` number, since 220 + 21 + 200 + 0 + 21 + 202 + 2 = 666.

220212000212022 is nontrivially palindromic in base 10.

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 = 220212000211986 and 220212000212004.

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, 26057443 + ... + 33457649.

It is an arithmetic number, because the mean of its divisors is an integer number (3147560069472).

Almost surely, 2^{220212000212022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220212000212022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302165766669312).

220212000212022 is an abundant number, since it is smaller than the sum of its proper divisors (384119533126602).

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

220212000212022 is a wasteful number, since it uses less digits than its factorization.

220212000212022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7400763 (or 7400760 counting only the distinct ones).

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

It can be divided in two parts, 220212000 and 212022, that added together give a palindrome (220424022).

The spelling of 220212000212022 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred twelve thousand, twenty-two".