12002122111122 has 96 divisors (see below), whose sum is σ = 30558495554496. Its totient is φ = 3356397475200.

The previous prime is 12002122111099. The next prime is 12002122111141. The reversal of 12002122111122 is 22111122120021.

12002122111122 is a `hidden beast` number, since 120 + 0 + 212 + 211 + 1 + 122 = 666.

12002122111122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12002122111122² (a number of 27 digits) contains 22 as substring.

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 = 12002122111095 and 12002122111104.

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, 9748497 + ... + 10910427.

It is an arithmetic number, because the mean of its divisors is an integer number (318317662026).

Almost surely, 2^{12002122111122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002122111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15279247777248).

12002122111122 is an abundant number, since it is smaller than the sum of its proper divisors (18556373443374).

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

12002122111122 is a wasteful number, since it uses less digits than its factorization.

12002122111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165976 (or 1165973 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12002122111122 its reverse (22111122120021), we get a palindrome (34113244231143).

It can be divided in two parts, 120021 and 22111122, that multiplied together give a palindrome (2653798973562).

The spelling of 12002122111122 in words is "twelve trillion, two billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twenty-two".