11211020122122 has 128 divisors (see below), whose sum is σ = 26391082348800. Its totient is φ = 3527690382720.

The previous prime is 11211020122091. The next prime is 11211020122163. The reversal of 11211020122122 is 22122102011211.

11211020122122 is a `hidden beast` number, since 11 + 211 + 0 + 201 + 221 + 22 = 666.

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 = 11211020122095 and 11211020122104.

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 63 ways as a sum of consecutive naturals, for example, 104024608 + ... + 104132324.

It is an arithmetic number, because the mean of its divisors is an integer number (206180330850).

Almost surely, 2^{11211020122122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11211020122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13195541174400).

11211020122122 is an abundant number, since it is smaller than the sum of its proper divisors (15180062226678).

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

11211020122122 is a wasteful number, since it uses less digits than its factorization.

11211020122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108066 (or 108022 counting only the distinct ones).

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

Adding to 11211020122122 its reverse (22122102011211), we get a palindrome (33333122133333).

The spelling of 11211020122122 in words is "eleven trillion, two hundred eleven billion, twenty million, one hundred twenty-two thousand, one hundred twenty-two".