122330014400 has 168 divisors, whose sum is σ = 347689572336. Its totient is φ = 41866854400.

The previous prime is 122330014399. The next prime is 122330014403. The reversal of 122330014400 is 4410033221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (122330014403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94772 + ... + 503628.

Almost surely, 2^122330014400 is an apocalyptic number.

122330014400 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 122330014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173844786168).

122330014400 is an abundant number, since it is smaller than the sum of its proper divisors (225359557936).

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

122330014400 is a wasteful number, since it uses less digits than its factorization.

122330014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408907 (or 408892 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 122330014400 its reverse (4410033221), we get a palindrome (126740047621).

The spelling of 122330014400 in words is "one hundred twenty-two billion, three hundred thirty million, fourteen thousand, four hundred".