11211222010122 has 72 divisors (see below), whose sum is σ = 25255382315436. Its totient is φ = 3594168410112.

The previous prime is 11211222010069. The next prime is 11211222010133. The reversal of 11211222010122 is 22101022211211.

It can be written as a sum of positive squares in 6 ways, for example, as 7516211548041 + 3695010462081 = 2741571^2 + 1922241^2 .

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 = 11211222010095 and 11211222010104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2449608 + ... + 5331324.

Almost surely, 2^{11211222010122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11211222010122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12627691157718).

11211222010122 is an abundant number, since it is smaller than the sum of its proper divisors (14044160305314).

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

11211222010122 is a wasteful number, since it uses less digits than its factorization.

11211222010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882040 (or 2882008 counting only the distinct ones).

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

Adding to 11211222010122 its reverse (22101022211211), we get a palindrome (33312244221333).

The spelling of 11211222010122 in words is "eleven trillion, two hundred eleven billion, two hundred twenty-two million, ten thousand, one hundred twenty-two".