12121132122 has 96 divisors (see below), whose sum is σ = 29622827520. Its totient is φ = 3548736000.

The previous prime is 12121132097. The next prime is 12121132151. The reversal of 12121132122 is 22123112121.

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 = 12121132095 and 12121132104.

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, 4964422 + ... + 4966862.

It is an arithmetic number, because the mean of its divisors is an integer number (308571120).

Almost surely, 2^12121132122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121132122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14811413760).

12121132122 is an abundant number, since it is smaller than the sum of its proper divisors (17501695398).

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

12121132122 is a wasteful number, since it uses less digits than its factorization.

12121132122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300 (or 3297 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 12121132122 its reverse (22123112121), we get a palindrome (34244244243).

The spelling of 12121132122 in words is "twelve billion, one hundred twenty-one million, one hundred thirty-two thousand, one hundred twenty-two".