122140540424 has 256 divisors, whose sum is σ = 297724377600. Its totient is φ = 45721387008.

The previous prime is 122140540399. The next prime is 122140540429. The reversal of 122140540424 is 424045041221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122140540429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307658594 + ... + 307658990.

It is an arithmetic number, because the mean of its divisors is an integer number (1162985850).

Almost surely, 2^122140540424 is an apocalyptic number.

122140540424 is a gapful number since it is divisible by the number (14) 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 122140540424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148862188800).

122140540424 is an abundant number, since it is smaller than the sum of its proper divisors (175583837176).

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

122140540424 is a wasteful number, since it uses less digits than its factorization.

122140540424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 122140540424 its reverse (424045041221), we get a palindrome (546185581645).

The spelling of 122140540424 in words is "one hundred twenty-two billion, one hundred forty million, five hundred forty thousand, four hundred twenty-four".