12122212102011 has 120 divisors (see below), whose sum is σ = 20208967566480. Its totient is φ = 7234938247680.

The previous prime is 12122212101983. The next prime is 12122212102031. The reversal of 12122212102011 is 11020121222121.

12122212102011 is a `hidden beast` number, since 1 + 212 + 221 + 210 + 20 + 1 + 1 = 666.

It is not a de Polignac number, because 12122212102011 - 2⁶ = 12122212101947 is a prime.

It is a super-2 number, since 2×12122212102011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12122212102031) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 254596375 + ... + 254643983.

It is an arithmetic number, because the mean of its divisors is an integer number (168408063054).

Almost surely, 2^{12122212102011} is an apocalyptic number.

12122212102011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12122212102011 is a deficient number, since it is larger than the sum of its proper divisors (8086755464469).

12122212102011 is a wasteful number, since it uses less digits than its factorization.

12122212102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48039 (or 48019 counting only the distinct ones).

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

Adding to 12122212102011 its reverse (11020121222121), we get a palindrome (23142333324132).

The spelling of 12122212102011 in words is "twelve trillion, one hundred twenty-two billion, two hundred twelve million, one hundred two thousand, eleven".