13221123210000 has 2400 divisors, whose sum is σ = 54195142003200. Its totient is φ = 3073075200000.

The previous prime is 13221123209927. The next prime is 13221123210059. The reversal of 13221123210000 is 1232112231.

13221123210000 is a `hidden beast` number, since 1 + 322 + 11 + 232 + 100 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 130902209950 + ... + 130902210050.

It is an arithmetic number, because the mean of its divisors is an integer number (22581309168).

Almost surely, 2^{13221123210000} is an apocalyptic number.

13221123210000 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 13221123210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27097571001600).

13221123210000 is an abundant number, since it is smaller than the sum of its proper divisors (40974018793200).

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

13221123210000 is a wasteful number, since it uses less digits than its factorization.

13221123210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13221123210000 its reverse (1232112231), we get a palindrome (13222355322231).

The spelling of 13221123210000 in words is "thirteen trillion, two hundred twenty-one billion, one hundred twenty-three million, two hundred ten thousand".