133332012021120 has 768 divisors, whose sum is σ = 472428687306240. Its totient is φ = 31957932441600.

The previous prime is 133332012021107. The next prime is 133332012021139. The reversal of 133332012021120 is 21120210233331.

133332012021120 is digitally balanced in base 3, 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29092734349 + ... + 29092738931.

It is an arithmetic number, because the mean of its divisors is an integer number (615141519930).

Almost surely, 2^{133332012021120} is an apocalyptic number.

133332012021120 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 133332012021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236214343653120).

133332012021120 is an abundant number, since it is smaller than the sum of its proper divisors (339096675285120).

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

133332012021120 is a wasteful number, since it uses less digits than its factorization.

133332012021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6015 (or 5992 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 133332012021120 its reverse (21120210233331), we get a palindrome (154452222254451).

The spelling of 133332012021120 in words is "one hundred thirty-three trillion, three hundred thirty-two billion, twelve million, twenty-one thousand, one hundred twenty".