212120122100000 has 144 divisors (see below), whose sum is σ = 522259213896000. Its totient is φ = 84802817760000.

The previous prime is 212120122099967. The next prime is 212120122100017. The reversal of 212120122100000 is 1221021212.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187335551 + ... + 188464449.

It is an arithmetic number, because the mean of its divisors is an integer number (3626800096500).

Almost surely, 2^{212120122100000} is an apocalyptic number.

212120122100000 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 212120122100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261129606948000).

212120122100000 is an abundant number, since it is smaller than the sum of its proper divisors (310139091796000).

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

212120122100000 is an equidigital number, since it uses as much as digits as its factorization.

212120122100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130813 (or 1130785 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212120122100000 its reverse (1221021212), we get a palindrome (212121343121212).

The spelling of 212120122100000 in words is "two hundred twelve trillion, one hundred twenty billion, one hundred twenty-two million, one hundred thousand".