212022222021000 has 768 divisors, whose sum is σ = 770742104932800. Its totient is φ = 52381347840000.

The previous prime is 212022222020969. The next prime is 212022222021161. The reversal of 212022222021000 is 120222220212.

212022222021000 is a `hidden beast` number, since 2 + 12 + 0 + 222 + 220 + 210 + 0 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 19421173046916 + 192601048974084 = 4406946^2 + 13878078^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2673329346 + ... + 2673408654.

Almost surely, 2^{212022222021000} is an apocalyptic number.

212022222021000 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 212022222021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385371052466400).

212022222021000 is an abundant number, since it is smaller than the sum of its proper divisors (558719882911800).

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

212022222021000 is a wasteful number, since it uses less digits than its factorization.

212022222021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79627 (or 79610 counting only the distinct ones).

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

Adding to 212022222021000 its reverse (120222220212), we get a palindrome (212142444241212).

The spelling of 212022222021000 in words is "two hundred twelve trillion, twenty-two billion, two hundred twenty-two million, twenty-one thousand".