13200032202120 has 160 divisors (see below), whose sum is σ = 44380082862720. Its totient is φ = 3518952750720.

The previous prime is 13200032202103. The next prime is 13200032202169. The reversal of 13200032202120 is 2120223000231.

13200032202120 is a `hidden beast` number, since 1 + 320 + 0 + 0 + 3 + 220 + 2 + 120 = 666.

13200032202120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 13200032202093 and 13200032202102.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10221975 + ... + 11440665.

It is an arithmetic number, because the mean of its divisors is an integer number (277375517892).

Almost surely, 2^{13200032202120} is an apocalyptic number.

13200032202120 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 13200032202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22190041431360).

13200032202120 is an abundant number, since it is smaller than the sum of its proper divisors (31180050660600).

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

13200032202120 is a wasteful number, since it uses less digits than its factorization.

13200032202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222057 (or 1222044 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13200032202120 its reverse (2120223000231), we get a palindrome (15320255202351).

The spelling of 13200032202120 in words is "thirteen trillion, two hundred billion, thirty-two million, two hundred two thousand, one hundred twenty".