122412321440 has 192 divisors, whose sum is σ = 315447229440. Its totient is φ = 44730040320.

The previous prime is 122412321433. The next prime is 122412321491. The reversal of 122412321440 is 44123214221.

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, 12705425 + ... + 12715055.

It is an arithmetic number, because the mean of its divisors is an integer number (1642954320).

Almost surely, 2^122412321440 is an apocalyptic number.

122412321440 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 122412321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157723614720).

122412321440 is an abundant number, since it is smaller than the sum of its proper divisors (193034908000).

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

122412321440 is a wasteful number, since it uses less digits than its factorization.

122412321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9815 (or 9807 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 122412321440 its reverse (44123214221), we get a palindrome (166535535661).

The spelling of 122412321440 in words is "one hundred twenty-two billion, four hundred twelve million, three hundred twenty-one thousand, four hundred forty".