122430322111440 has 320 divisors, whose sum is σ = 457210376663040. Its totient is φ = 26474756014080.

The previous prime is 122430322111403. The next prime is 122430322111463. The reversal of 122430322111440 is 44111223034221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 122430322111398 and 122430322111407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20567920 + ... + 25843760.

It is an arithmetic number, because the mean of its divisors is an integer number (1428782427072).

Almost surely, 2^{122430322111440} is an apocalyptic number.

122430322111440 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 122430322111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228605188331520).

122430322111440 is an abundant number, since it is smaller than the sum of its proper divisors (334780054551600).

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

122430322111440 is a wasteful number, since it uses less digits than its factorization.

122430322111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5276610 (or 5276604 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 122430322111440 its reverse (44111223034221), we get a palindrome (166541545145661).

The spelling of 122430322111440 in words is "one hundred twenty-two trillion, four hundred thirty billion, three hundred twenty-two million, one hundred eleven thousand, four hundred forty".