1221111211122 has 96 divisors (see below), whose sum is σ = 2964751006464. Its totient is φ = 359974368000.

The previous prime is 1221111211057. The next prime is 1221111211141. The reversal of 1221111211122 is 2211121111221.

It is a happy number.

1221111211122 is a `hidden beast` number, since 1 + 221 + 111 + 211 + 122 = 666.

It is a super-2 number, since 2×1221111211122² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1221111211095 and 1221111211104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69566247 + ... + 69583797.

It is an arithmetic number, because the mean of its divisors is an integer number (30882822984).

Almost surely, 2^{1221111211122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221111211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482375503232).

1221111211122 is an abundant number, since it is smaller than the sum of its proper divisors (1743639795342).

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

1221111211122 is a wasteful number, since it uses less digits than its factorization.

1221111211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27104 (or 27101 counting only the distinct ones).

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

Adding to 1221111211122 its reverse (2211121111221), we get a palindrome (3432232322343).

Subtracting 1221111211122 from its reverse (2211121111221), we obtain a palindrome (990009900099).

The spelling of 1221111211122 in words is "one trillion, two hundred twenty-one billion, one hundred eleven million, two hundred eleven thousand, one hundred twenty-two".