212021122000000 has 112 divisors (see below), whose sum is σ = 527975533037610. Its totient is φ = 84808448000000.

The previous prime is 212021121999971. The next prime is 212021122000001. The reversal of 212021122000000 is 221120212.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 153476220656704 + 58544901343296 = 12388552^2 + 7651464^2 .

It is not an unprimeable number, because it can be changed into a prime (212021122000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 51005281 + ... + 55005280.

Almost surely, 2^{212021122000000} is an apocalyptic number.

212021122000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021122000000 is an abundant number, since it is smaller than the sum of its proper divisors (315954411037610).

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

212021122000000 is an frugal number, since it uses more digits than its factorization.

212021122000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106010605 (or 106010568 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212021122000000 its reverse (221120212), we get a palindrome (212021343120212).

The spelling of 212021122000000 in words is "two hundred twelve trillion, twenty-one billion, one hundred twenty-two million", and thus it is an aban number.