12020100133200 has 360 divisors, whose sum is σ = 39997443312288. Its totient is φ = 3084028738560.

The previous prime is 12020100133177. The next prime is 12020100133219. The reversal of 12020100133200 is 233100102021.

12020100133200 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12020100133200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 231606454 + ... + 231658346.

Almost surely, 2^{12020100133200} is an apocalyptic number.

12020100133200 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 12020100133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998721656144).

12020100133200 is an abundant number, since it is smaller than the sum of its proper divisors (27977343179088).

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

12020100133200 is a wasteful number, since it uses less digits than its factorization.

12020100133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52091 (or 52013 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12020100133200 its reverse (233100102021), we get a palindrome (12253200235221).

The spelling of 12020100133200 in words is "twelve trillion, twenty billion, one hundred million, one hundred thirty-three thousand, two hundred".