11111022121122 has 192 divisors, whose sum is σ = 30155871283200. Its totient is φ = 2872386316800.

The previous prime is 11111022121093. The next prime is 11111022121127. The reversal of 11111022121122 is 22112122011111.

It is a happy number.

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 = 11111022121095 and 11111022121104.

It is not an unprimeable number, because it can be changed into a prime (11111022121127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274780618 + ... + 274821050.

It is an arithmetic number, because the mean of its divisors is an integer number (157061829600).

Almost surely, 2^{11111022121122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111022121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15077935641600).

11111022121122 is an abundant number, since it is smaller than the sum of its proper divisors (19044849162078).

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

11111022121122 is a wasteful number, since it uses less digits than its factorization.

11111022121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41389 (or 41386 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11111022121122 its reverse (22112122011111), we get a palindrome (33223144132233).

The spelling of 11111022121122 in words is "eleven trillion, one hundred eleven billion, twenty-two million, one hundred twenty-one thousand, one hundred twenty-two".