133220833812 has 768 divisors, whose sum is σ = 434201886720. Its totient is φ = 35271936000.

The previous prime is 133220833799. The next prime is 133220833813. The reversal of 133220833812 is 218338022331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133220833813) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1876349737 + ... + 1876349807.

It is an arithmetic number, because the mean of its divisors is an integer number (565367040).

Almost surely, 2^133220833812 is an apocalyptic number.

133220833812 is a gapful number since it is divisible by the number (12) 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 133220833812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217100943360).

133220833812 is an abundant number, since it is smaller than the sum of its proper divisors (300981052908).

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

133220833812 is a wasteful number, since it uses less digits than its factorization.

133220833812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 133220833812 in words is "one hundred thirty-three billion, two hundred twenty million, eight hundred thirty-three thousand, eight hundred twelve".