212211122122300 has 144 divisors (see below), whose sum is σ = 531278997967872. Its totient is φ = 72070592659200.

The previous prime is 212211122122249. The next prime is 212211122122319. The reversal of 212211122122300 is 3221221112212.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 29584959 + ... + 36051241.

It is an arithmetic number, because the mean of its divisors is an integer number (3689437485888).

Almost surely, 2^{212211122122300} is an apocalyptic number.

212211122122300 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 212211122122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265639498983936).

212211122122300 is an abundant number, since it is smaller than the sum of its proper divisors (319067875845572).

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

212211122122300 is a wasteful number, since it uses less digits than its factorization.

212211122122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6466748 (or 6466741 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 212211122122300 its reverse (3221221112212), we get a palindrome (215432343234512).

The spelling of 212211122122300 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twenty-two thousand, three hundred".