122311312321110 has 96 divisors (see below), whose sum is σ = 322740189041760. Its totient is φ = 29643790471680.

The previous prime is 122311312321109. The next prime is 122311312321139. The reversal of 122311312321110 is 11123213113221.

122311312321110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122311312321110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10256634 + ... + 18703506.

It is an arithmetic number, because the mean of its divisors is an integer number (3361876969185).

Almost surely, 2^{122311312321110} is an apocalyptic number.

122311312321110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122311312321110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161370094520880).

122311312321110 is an abundant number, since it is smaller than the sum of its proper divisors (200428876720650).

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

122311312321110 is a wasteful number, since it uses less digits than its factorization.

122311312321110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8450894 (or 8450883 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 122311312321110 its reverse (11123213113221), we get a palindrome (133434525434331).

The spelling of 122311312321110 in words is "one hundred twenty-two trillion, three hundred eleven billion, three hundred twelve million, three hundred twenty-one thousand, one hundred ten".