122440214024320 has 256 divisors, whose sum is σ = 310065396439680. Its totient is φ = 46180271554560.

The previous prime is 122440214024309. The next prime is 122440214024329. The reversal of 122440214024320 is 23420412044221.

It is not an unprimeable number, because it can be changed into a prime (122440214024329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92521219 + ... + 93835261.

Almost surely, 2^{122440214024320} is an apocalyptic number.

122440214024320 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 122440214024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155032698219840).

122440214024320 is an abundant number, since it is smaller than the sum of its proper divisors (187625182415360).

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

122440214024320 is a wasteful number, since it uses less digits than its factorization.

122440214024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314223 (or 1314211 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 122440214024320 its reverse (23420412044221), we get a palindrome (145860626068541).

The spelling of 122440214024320 in words is "one hundred twenty-two trillion, four hundred forty billion, two hundred fourteen million, twenty-four thousand, three hundred twenty".