2122053322400 has 144 divisors (see below), whose sum is σ = 5687413794720. Its totient is φ = 766740249600.

The previous prime is 2122053322393. The next prime is 2122053322421. The reversal of 2122053322400 is 42233502212.

It is a super-2 number, since 2×2122053322400² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2122053322400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613631 + ... + 2149569.

It is an arithmetic number, because the mean of its divisors is an integer number (39495929130).

Almost surely, 2^{2122053322400} is an apocalyptic number.

2122053322400 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 2122053322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843706897360).

2122053322400 is an abundant number, since it is smaller than the sum of its proper divisors (3565360472320).

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

2122053322400 is a wasteful number, since it uses less digits than its factorization.

2122053322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536127 (or 1536114 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 2122053322400 its reverse (42233502212), we get a palindrome (2164286824612).

The spelling of 2122053322400 in words is "two trillion, one hundred twenty-two billion, fifty-three million, three hundred twenty-two thousand, four hundred".