2122400132400 has 480 divisors, whose sum is σ = 7172409507840. Its totient is φ = 535764096000.

The previous prime is 2122400132389. The next prime is 2122400132471. The reversal of 2122400132400 is 42310042212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 463100509 + ... + 463105091.

It is an arithmetic number, because the mean of its divisors is an integer number (14942519808).

Almost surely, 2^{2122400132400} is an apocalyptic number.

2122400132400 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 2122400132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586204753920).

2122400132400 is an abundant number, since it is smaller than the sum of its proper divisors (5050009375440).

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

2122400132400 is a wasteful number, since it uses less digits than its factorization.

2122400132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4905 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2122400132400 its reverse (42310042212), we get a palindrome (2164710174612).

The spelling of 2122400132400 in words is "two trillion, one hundred twenty-two billion, four hundred million, one hundred thirty-two thousand, four hundred".