212211110212122 has 512 divisors, whose sum is σ = 566947888496640. Its totient is φ = 51485829120000.

The previous prime is 212211110212109. The next prime is 212211110212169. The reversal of 212211110212122 is 221212011112212.

It is a super-2 number, since 2×212211110212122² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 33840071847 + ... + 33840078117.

It is an arithmetic number, because the mean of its divisors is an integer number (1107320094720).

Almost surely, 2^{212211110212122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212211110212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283473944248320).

212211110212122 is an abundant number, since it is smaller than the sum of its proper divisors (354736778284518).

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

212211110212122 is a wasteful number, since it uses less digits than its factorization.

212211110212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7618.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 212211110212122 its reverse (221212011112212), we get a palindrome (433423121324334).

The spelling of 212211110212122 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred ten million, two hundred twelve thousand, one hundred twenty-two".