122424203112344 has 128 divisors (see below), whose sum is σ = 276963261120000. Its totient is φ = 49558848399360.

The previous prime is 122424203112331. The next prime is 122424203112487. The reversal of 122424203112344 is 443211302424221.

It is a super-3 number, since 3×122424203112344³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1079797979 + ... + 1079911349.

It is an arithmetic number, because the mean of its divisors is an integer number (2163775477500).

Almost surely, 2^{122424203112344} is an apocalyptic number.

122424203112344 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 122424203112344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138481630560000).

122424203112344 is an abundant number, since it is smaller than the sum of its proper divisors (154539058007656).

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

122424203112344 is a wasteful number, since it uses less digits than its factorization.

122424203112344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116401 (or 116397 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 122424203112344 its reverse (443211302424221), we get a palindrome (565635505536565).

The spelling of 122424203112344 in words is "one hundred twenty-two trillion, four hundred twenty-four billion, two hundred three million, one hundred twelve thousand, three hundred forty-four".