12122121001122 has 64 divisors (see below), whose sum is σ = 29390429128320. Its totient is φ = 3672936360000.

The previous prime is 12122121001093. The next prime is 12122121001147. The reversal of 12122121001122 is 22110012122121.

12122121001122 is a `hidden beast` number, since 121 + 221 + 210 + 0 + 112 + 2 = 666.

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 = 12122121001095 and 12122121001104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3849288 + ... + 6249900.

It is an arithmetic number, because the mean of its divisors is an integer number (459225455130).

Almost surely, 2^{12122121001122} is an apocalyptic number.

12122121001122 is an abundant number, since it is smaller than the sum of its proper divisors (17268308127198).

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

12122121001122 is a wasteful number, since it uses less digits than its factorization.

12122121001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409136 (or 2409130 counting only the distinct ones).

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

Adding to 12122121001122 its reverse (22110012122121), we get a palindrome (34232133123243).

The spelling of 12122121001122 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, one thousand, one hundred twenty-two".