13233412222400 has 168 divisors, whose sum is σ = 33994889616384. Its totient is φ = 5060735257600.

The previous prime is 13233412222391. The next prime is 13233412222421. The reversal of 13233412222400 is 422221433231.

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, 75831245 + ... + 76005555.

Almost surely, 2^{13233412222400} is an apocalyptic number.

13233412222400 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 13233412222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16997444808192).

13233412222400 is an abundant number, since it is smaller than the sum of its proper divisors (20761477393984).

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

13233412222400 is a wasteful number, since it uses less digits than its factorization.

13233412222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176419 (or 176404 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 13233412222400 its reverse (422221433231), we get a palindrome (13655633655631).

The spelling of 13233412222400 in words is "thirteen trillion, two hundred thirty-three billion, four hundred twelve million, two hundred twenty-two thousand, four hundred".