211212210220020 has 144 divisors (see below), whose sum is σ = 650287049892480. Its totient is φ = 55478543079168.

The previous prime is 211212210220013. The next prime is 211212210220073. The reversal of 211212210220020 is 20022012212112.

It is a happy number.

211212210220020 is a `hidden beast` number, since 2 + 1 + 1 + 212 + 210 + 220 + 0 + 20 = 666.

It is a super-2 number, since 2×211212210220020² (a number of 29 digits) contains 22 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 = 211212210219975 and 211212210220002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165660289 + ... + 166930391.

It is an arithmetic number, because the mean of its divisors is an integer number (4515882290920).

Almost surely, 2^{211212210220020} is an apocalyptic number.

211212210220020 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 211212210220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325143524946240).

211212210220020 is an abundant number, since it is smaller than the sum of its proper divisors (439074839672460).

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

211212210220020 is a wasteful number, since it uses less digits than its factorization.

211212210220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283974 (or 1283969 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211212210220020 its reverse (20022012212112), we get a palindrome (231234222432132).

The spelling of 211212210220020 in words is "two hundred eleven trillion, two hundred twelve billion, two hundred ten million, two hundred twenty thousand, twenty".