13222725120000 has 3900 divisors, whose sum is σ = 59299011592128. Its totient is φ = 2919628800000.

The previous prime is 13222725119977. The next prime is 13222725120001. The reversal of 13222725120000 is 2152722231.

13222725120000 is a `hidden beast` number, since 1 + 322 + 272 + 51 + 20 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222725120001) by changing a digit.

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 299 ways as a sum of consecutive naturals, for example, 426539519985 + ... + 426539520015.

Almost surely, 2^{13222725120000} is an apocalyptic number.

13222725120000 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 13222725120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29649505796064).

13222725120000 is an abundant number, since it is smaller than the sum of its proper divisors (46076286472128).

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

13222725120000 is an equidigital number, since it uses as much as digits as its factorization.

13222725120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 13222725120000 its reverse (2152722231), we get a palindrome (13224877842231).

The spelling of 13222725120000 in words is "thirteen trillion, two hundred twenty-two billion, seven hundred twenty-five million, one hundred twenty thousand".