2122203352400 has 120 divisors (see below), whose sum is σ = 5197005146424. Its totient is φ = 832625049600.

The previous prime is 2122203352393. The next prime is 2122203352427. The reversal of 2122203352400 is 42533022212.

It can be written as a sum of positive squares in 12 ways, for example, as 1767602158144 + 354601194256 = 1329512^2 + 595484^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2122203352400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5084432 + ... + 5485968.

Almost surely, 2^{2122203352400} is an apocalyptic number.

2122203352400 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 2122203352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598502573212).

2122203352400 is an abundant number, since it is smaller than the sum of its proper divisors (3074801794024).

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

2122203352400 is a wasteful number, since it uses less digits than its factorization.

2122203352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401809 (or 401798 counting only the distinct ones).

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

Adding to 2122203352400 its reverse (42533022212), we get a palindrome (2164736374612).

The spelling of 2122203352400 in words is "two trillion, one hundred twenty-two billion, two hundred three million, three hundred fifty-two thousand, four hundred".