12211201012122 has 96 divisors (see below), whose sum is σ = 30408007803264. Its totient is φ = 3469217558400.

The previous prime is 12211201012091. The next prime is 12211201012273. The reversal of 12211201012122 is 22121010211221.

It is a super-2 number, since 2×12211201012122² (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 = 12211201012095 and 12211201012104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220665997 + ... + 220721327.

It is an arithmetic number, because the mean of its divisors is an integer number (316750081284).

Almost surely, 2^{12211201012122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211201012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15204003901632).

12211201012122 is an abundant number, since it is smaller than the sum of its proper divisors (18196806791142).

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

12211201012122 is a wasteful number, since it uses less digits than its factorization.

12211201012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65204 (or 65201 counting only the distinct ones).

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

Adding to 12211201012122 its reverse (22121010211221), we get a palindrome (34332211223343).

The spelling of 12211201012122 in words is "twelve trillion, two hundred eleven billion, two hundred one million, twelve thousand, one hundred twenty-two".