13200321012120 has 768 divisors, whose sum is σ = 50659644672000. Its totient is φ = 2945996697600.

The previous prime is 13200321012061. The next prime is 13200321012127. The reversal of 13200321012120 is 2121012300231.

13200321012120 is a `hidden beast` number, since 1 + 3 + 200 + 321 + 0 + 121 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13200321012093 and 13200321012102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200321012127) 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 191 ways as a sum of consecutive naturals, for example, 2619628561 + ... + 2619633599.

It is an arithmetic number, because the mean of its divisors is an integer number (65963079000).

Almost surely, 2^{13200321012120} is an apocalyptic number.

13200321012120 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 13200321012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25329822336000).

13200321012120 is an abundant number, since it is smaller than the sum of its proper divisors (37459323659880).

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

13200321012120 is a wasteful number, since it uses less digits than its factorization.

13200321012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6064 (or 6057 counting only the distinct ones).

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

Adding to 13200321012120 its reverse (2121012300231), we get a palindrome (15321333312351).

The spelling of 13200321012120 in words is "thirteen trillion, two hundred billion, three hundred twenty-one million, twelve thousand, one hundred twenty".