211222020220020 has 144 divisors (see below), whose sum is σ = 643844388096000. Its totient is φ = 56050374352896.

The previous prime is 211222020220007. The next prime is 211222020220021. The reversal of 211222020220020 is 20022020222112.

211222020220020 is a `hidden beast` number, since 21 + 1 + 2 + 220 + 202 + 200 + 20 = 666.

It is a super-2 number, since 2×211222020220020² (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 = 211222020219975 and 211222020220002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222020220021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58872861 + ... + 62357499.

It is an arithmetic number, because the mean of its divisors is an integer number (4471141584000).

Almost surely, 2^{211222020220020} is an apocalyptic number.

211222020220020 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 211222020220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321922194048000).

211222020220020 is an abundant number, since it is smaller than the sum of its proper divisors (432622367875980).

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

211222020220020 is a wasteful number, since it uses less digits than its factorization.

211222020220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486302 (or 3486297 counting only the distinct ones).

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

Adding to 211222020220020 its reverse (20022020222112), we get a palindrome (231244040442132).

The spelling of 211222020220020 in words is "two hundred eleven trillion, two hundred twenty-two billion, twenty million, two hundred twenty thousand, twenty".