212212201000122 has 96 divisors (see below), whose sum is σ = 488133203688000. Its totient is φ = 66399641700864.

The previous prime is 212212201000097. The next prime is 212212201000123. The reversal of 212212201000122 is 221000102212212.

It is a happy number.

212212201000122 is a `hidden beast` number, since 2 + 1 + 221 + 220 + 100 + 0 + 122 = 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 = 212212201000095 and 212212201000104.

It is not an unprimeable number, because it can be changed into a prime (212212201000123) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 278135029 + ... + 278896967.

It is an arithmetic number, because the mean of its divisors is an integer number (5084720871750).

Almost surely, 2^{212212201000122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212212201000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244066601844000).

212212201000122 is an abundant number, since it is smaller than the sum of its proper divisors (275921002687878).

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

212212201000122 is a wasteful number, since it uses less digits than its factorization.

212212201000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764380 (or 764377 counting only the distinct ones).

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

Adding to 212212201000122 its reverse (221000102212212), we get a palindrome (433212303212334).

The spelling of 212212201000122 in words is "two hundred twelve trillion, two hundred twelve billion, two hundred one million, one hundred twenty-two", and thus it is an aban number.