122324430144 has 112 divisors (see below), whose sum is σ = 370110642048. Its totient is φ = 34928590848.

The previous prime is 122324430143. The next prime is 122324430209. The reversal of 122324430144 is 441034423221.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122324430143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2253952 + ... + 2307584.

It is an arithmetic number, because the mean of its divisors is an integer number (3304559304).

Almost surely, 2^122324430144 is an apocalyptic number.

122324430144 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 122324430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185055321024).

122324430144 is an abundant number, since it is smaller than the sum of its proper divisors (247786211904).

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

122324430144 is a wasteful number, since it uses less digits than its factorization.

122324430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55352 (or 55342 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 122324430144 its reverse (441034423221), we get a palindrome (563358853365).

The spelling of 122324430144 in words is "one hundred twenty-two billion, three hundred twenty-four million, four hundred thirty thousand, one hundred forty-four".