122111311 has 24 divisors (see below), whose sum is σ = 146253600. Its totient is φ = 99832512.

The previous prime is 122111299. The next prime is 122111321. The reversal of 122111311 is 113111221.

It is a happy number.

It is not a de Polignac number, because 122111311 - 2⁵ = 122111279 is a prime.

It is a super-2 number, since 2×122111311² = 29822344548277442, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122111291 and 122111300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819465 + ... + 819613.

It is an arithmetic number, because the mean of its divisors is an integer number (6093900).

Almost surely, 2^122111311 is an apocalyptic number.

122111311 is a deficient number, since it is larger than the sum of its proper divisors (24142289).

122111311 is an equidigital number, since it uses as much as digits as its factorization.

122111311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 256 counting only the distinct ones).

The product of its digits is 12, while the sum is 13.

The square root of 122111311 is about 11050.3986805907. The cubic root of 122111311 is about 496.1183583634.

Adding to 122111311 its reverse (113111221), we get a palindrome (235222532).

The spelling of 122111311 in words is "one hundred twenty-two million, one hundred eleven thousand, three hundred eleven".