12211210012122 has 112 divisors (see below), whose sum is σ = 29961437961312. Its totient is φ = 3700098286560.

The previous prime is 12211210012109. The next prime is 12211210012229. The reversal of 12211210012122 is 22121001211221.

It is a super-2 number, since 2×12211210012122² (a number of 27 digits) contains 22 as substring.

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 = 12211210012095 and 12211210012104.

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 55 ways as a sum of consecutive naturals, for example, 426548373 + ... + 426576999.

Almost surely, 2^{12211210012122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211210012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14980718980656).

12211210012122 is an abundant number, since it is smaller than the sum of its proper divisors (17750227949190).

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

12211210012122 is a wasteful number, since it uses less digits than its factorization.

12211210012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55255 (or 55240 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12211210012122 its reverse (22121001211221), we get a palindrome (34332211223343).

The spelling of 12211210012122 in words is "twelve trillion, two hundred eleven billion, two hundred ten million, twelve thousand, one hundred twenty-two".