122111112222011 has 8 divisors (see below), whose sum is σ = 133250745870000. Its totient is φ = 110977915815040.

The previous prime is 122111112221977. The next prime is 122111112222037. The reversal of 122111112222011 is 110222211111221.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122111112222011 - 2¹⁰ = 122111112220987 is a prime.

It is a super-2 number, since 2×122111112222011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122111112222041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1609270586 + ... + 1609346463.

It is an arithmetic number, because the mean of its divisors is an integer number (16656343233750).

Almost surely, 2^{122111112222011} is an apocalyptic number.

122111112222011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122111112222011 is a deficient number, since it is larger than the sum of its proper divisors (11139633647989).

122111112222011 is a wasteful number, since it uses less digits than its factorization.

122111112222011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218620509.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 122111112222011 its reverse (110222211111221), we get a palindrome (232333323333232).

The spelling of 122111112222011 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred twelve million, two hundred twenty-two thousand, eleven".