1211000011122 has 64 divisors (see below), whose sum is σ = 2674327985280. Its totient is φ = 362512550400.

The previous prime is 1211000011069. The next prime is 1211000011157. The reversal of 1211000011122 is 2211100001121.

It is a super-3 number, since 3×1211000011122³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1211000011098 and 1211000011107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6325972 + ... + 6514592.

It is an arithmetic number, because the mean of its divisors is an integer number (41786374770).

Almost surely, 2^{1211000011122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211000011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337163992640).

1211000011122 is an abundant number, since it is smaller than the sum of its proper divisors (1463327974158).

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

1211000011122 is a wasteful number, since it uses less digits than its factorization.

1211000011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189819.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1211000011122 its reverse (2211100001121), we get a palindrome (3422100012243).

The spelling of 1211000011122 in words is "one trillion, two hundred eleven billion, eleven thousand, one hundred twenty-two".