11211001222122 has 192 divisors, whose sum is σ = 27615119875200. Its totient is φ = 3368025722880.

The previous prime is 11211001222097. The next prime is 11211001222249. The reversal of 11211001222122 is 22122210011211.

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 = 11211001222095 and 11211001222104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1683077472 + ... + 1683084132.

It is an arithmetic number, because the mean of its divisors is an integer number (143828749350).

Almost surely, 2^{11211001222122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11211001222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13807559937600).

11211001222122 is an abundant number, since it is smaller than the sum of its proper divisors (16404118653078).

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

11211001222122 is a wasteful number, since it uses less digits than its factorization.

11211001222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11030 (or 11011 counting only the distinct ones).

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

Adding to 11211001222122 its reverse (22122210011211), we get a palindrome (33333211233333).

The spelling of 11211001222122 in words is "eleven trillion, two hundred eleven billion, one million, two hundred twenty-two thousand, one hundred twenty-two".