212221212001020 has 288 divisors, whose sum is σ = 695339654929920. Its totient is φ = 52281171671040.

The previous prime is 212221212000947. The next prime is 212221212001027. The reversal of 212221212001020 is 20100212122212.

It is a happy number.

212221212001020 is a `hidden beast` number, since 21 + 222 + 121 + 200 + 102 + 0 = 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 = 212221212000984 and 212221212001002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212221212001027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1245166 + ... + 20639594.

It is an arithmetic number, because the mean of its divisors is an integer number (2414373801840).

Almost surely, 2^{212221212001020} is an apocalyptic number.

212221212001020 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 212221212001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347669827464960).

212221212001020 is an abundant number, since it is smaller than the sum of its proper divisors (483118442928900).

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

212221212001020 is a wasteful number, since it uses less digits than its factorization.

212221212001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19394565 (or 19394560 counting only the distinct ones).

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

Adding to 212221212001020 its reverse (20100212122212), we get a palindrome (232321424123232).

The spelling of 212221212001020 in words is "two hundred twelve trillion, two hundred twenty-one billion, two hundred twelve million, one thousand, twenty".