2122301114400 has 144 divisors (see below), whose sum is σ = 6909075478368. Its totient is φ = 565866240000.

The previous prime is 2122301114387. The next prime is 2122301114413. The reversal of 2122301114400 is 44111032212.

It is an interprime number because it is at equal distance from previous prime (2122301114387) and next prime (2122301114413).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17823060 + ... + 17941740.

It is an arithmetic number, because the mean of its divisors is an integer number (47979690822).

Almost surely, 2^{2122301114400} is an apocalyptic number.

2122301114400 is a gapful number since it is divisible by the number (20) 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 2122301114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454537739184).

2122301114400 is an abundant number, since it is smaller than the sum of its proper divisors (4786774363968).

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

2122301114400 is a wasteful number, since it uses less digits than its factorization.

2122301114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126155 (or 126142 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2122301114400 its reverse (44111032212), we get a palindrome (2166412146612).

The spelling of 2122301114400 in words is "two trillion, one hundred twenty-two billion, three hundred one million, one hundred fourteen thousand, four hundred".