20314120312122 has 384 divisors, whose sum is σ = 52830648414720. Its totient is φ = 5093670666240.

The previous prime is 20314120312117. The next prime is 20314120312139. The reversal of 20314120312122 is 22121302141302.

It is a junction number, because it is equal to n+sod(n) for n = 20314120312092 and 20314120312101.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2089710222 + ... + 2089719942.

It is an arithmetic number, because the mean of its divisors is an integer number (137579813580).

Almost surely, 2^{20314120312122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20314120312122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26415324207360).

20314120312122 is an abundant number, since it is smaller than the sum of its proper divisors (32516528102598).

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

20314120312122 is a wasteful number, since it uses less digits than its factorization.

20314120312122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9978 (or 9965 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 20314120312122 its reverse (22121302141302), we get a palindrome (42435422453424).

The spelling of 20314120312122 in words is "twenty trillion, three hundred fourteen billion, one hundred twenty million, three hundred twelve thousand, one hundred twenty-two".