122112201112111 has 48 divisors (see below), whose sum is σ = 152357861606400. Its totient is φ = 95603353583040.

The previous prime is 122112201112091. The next prime is 122112201112129. The reversal of 122112201112111 is 111211102211221.

It is not a de Polignac number, because 122112201112111 - 2²⁹ = 122111664241199 is a prime.

It is a super-2 number, since 2×122112201112111² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112201112141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32605866 + ... + 36157528.

It is an arithmetic number, because the mean of its divisors is an integer number (3174122116800).

Almost surely, 2^{122112201112111} is an apocalyptic number.

122112201112111 is a deficient number, since it is larger than the sum of its proper divisors (30245660494289).

122112201112111 is a wasteful number, since it uses less digits than its factorization.

122112201112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552020 (or 3551989 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 122112201112111 its reverse (111211102211221), we get a palindrome (233323303323332).

The spelling of 122112201112111 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred one million, one hundred twelve thousand, one hundred eleven".