1121132110122 has 160 divisors (see below), whose sum is σ = 2561703051600. Its totient is φ = 366430003200.

The previous prime is 1121132110121. The next prime is 1121132110129. The reversal of 1121132110122 is 2210112311211.

It is a happy number.

1121132110122 is a `hidden beast` number, since 1 + 1 + 211 + 321 + 10 + 122 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 976877233641 + 144254876481 = 988371^2 + 379809^2 .

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 = 1121132110095 and 1121132110104.

It is not an unprimeable number, because it can be changed into a prime (1121132110121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1406689828 + ... + 1406690624.

Almost surely, 2^{1121132110122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121132110122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280851525800).

1121132110122 is an abundant number, since it is smaller than the sum of its proper divisors (1440570941478).

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

1121132110122 is a wasteful number, since it uses less digits than its factorization.

1121132110122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1121132110122 its reverse (2210112311211), we get a palindrome (3331244421333).

The spelling of 1121132110122 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-two million, one hundred ten thousand, one hundred twenty-two".