122312141314220 has 192 divisors, whose sum is σ = 312496167739392. Its totient is φ = 39603679488000.

The previous prime is 122312141314217. The next prime is 122312141314243. The reversal of 122312141314220 is 22413141213221.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25355312 + ... + 29791208.

It is an arithmetic number, because the mean of its divisors is an integer number (1627584206976).

Almost surely, 2^{122312141314220} is an apocalyptic number.

122312141314220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122312141314220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156248083869696).

122312141314220 is an abundant number, since it is smaller than the sum of its proper divisors (190184026425172).

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

122312141314220 is a wasteful number, since it uses less digits than its factorization.

122312141314220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4436272 (or 4436270 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 122312141314220 its reverse (22413141213221), we get a palindrome (144725282527441).

The spelling of 122312141314220 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred forty-one million, three hundred fourteen thousand, two hundred twenty".