122414135140 has 96 divisors (see below), whose sum is σ = 285820254720. Its totient is φ = 43668288000.

The previous prime is 122414135111. The next prime is 122414135141. The reversal of 122414135140 is 41531414221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122414135099 and 122414135108.

It is not an unprimeable number, because it can be changed into a prime (122414135141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2396709 + ... + 2447251.

It is an arithmetic number, because the mean of its divisors is an integer number (2977294320).

Almost surely, 2^122414135140 is an apocalyptic number.

122414135140 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 122414135140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142910127360).

122414135140 is an abundant number, since it is smaller than the sum of its proper divisors (163406119580).

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

122414135140 is a wasteful number, since it uses less digits than its factorization.

122414135140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50773 (or 50771 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 122414135140 its reverse (41531414221), we get a palindrome (163945549361).

The spelling of 122414135140 in words is "one hundred twenty-two billion, four hundred fourteen million, one hundred thirty-five thousand, one hundred forty".