13122011101122 has 192 divisors, whose sum is σ = 36684624936960. Its totient is φ = 3289363056000.

The previous prime is 13122011101079. The next prime is 13122011101169. The reversal of 13122011101122 is 22110111022131.

It is a happy number.

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 = 13122011101095 and 13122011101104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94426663 + ... + 94565525.

It is an arithmetic number, because the mean of its divisors is an integer number (191065754880).

Almost surely, 2^{13122011101122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13122011101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18342312468480).

13122011101122 is an abundant number, since it is smaller than the sum of its proper divisors (23562613835838).

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

13122011101122 is a wasteful number, since it uses less digits than its factorization.

13122011101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141269 (or 141266 counting only the distinct ones).

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

Adding to 13122011101122 its reverse (22110111022131), we get a palindrome (35232122123253).

The spelling of 13122011101122 in words is "thirteen trillion, one hundred twenty-two billion, eleven million, one hundred one thousand, one hundred twenty-two".