133222233012120 has 288 divisors, whose sum is σ = 504229490575200. Its totient is φ = 30416462447616.

The previous prime is 133222233012119. The next prime is 133222233012149. The reversal of 133222233012120 is 21210332222331.

133222233012120 is a `hidden beast` number, since 1 + 3 + 322 + 2 + 2 + 330 + 1 + 2 + 1 + 2 + 0 = 666.

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, 11389476 + ... + 19903884.

It is an arithmetic number, because the mean of its divisors is an integer number (1750796842275).

Almost surely, 2^{133222233012120} is an apocalyptic number.

133222233012120 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 133222233012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252114745287600).

133222233012120 is an abundant number, since it is smaller than the sum of its proper divisors (371007257563080).

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

133222233012120 is a wasteful number, since it uses less digits than its factorization.

133222233012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8515327 (or 8515313 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133222233012120 its reverse (21210332222331), we get a palindrome (154432565234451).

The spelling of 133222233012120 in words is "one hundred thirty-three trillion, two hundred twenty-two billion, two hundred thirty-three million, twelve thousand, one hundred twenty".