13332200001120 has 2304 divisors, whose sum is σ = 62988904323072. Its totient is φ = 2478127841280.

The previous prime is 13332200001091. The next prime is 13332200001151. The reversal of 13332200001120 is 2110000223331.

13332200001120 is a `hidden beast` number, since 1 + 333 + 220 + 0 + 0 + 0 + 112 + 0 = 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 = 13332200001093 and 13332200001102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24373308687 + ... + 24373309233.

It is an arithmetic number, because the mean of its divisors is an integer number (27338934168).

Almost surely, 2^{13332200001120} is an apocalyptic number.

13332200001120 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 13332200001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31494452161536).

13332200001120 is an abundant number, since it is smaller than the sum of its proper divisors (49656704321952).

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

13332200001120 is a wasteful number, since it uses less digits than its factorization.

13332200001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13332200001120 its reverse (2110000223331), we get a palindrome (15442200224451).

The spelling of 13332200001120 in words is "thirteen trillion, three hundred thirty-two billion, two hundred million, one thousand, one hundred twenty".