133122120 has 32 divisors (see below), whose sum is σ = 399366720. Its totient is φ = 35499200.

The previous prime is 133122103. The next prime is 133122127. The reversal of 133122120 is 21221331.

133122120 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133122120.

It is not an unprimeable number, because it can be changed into a prime (133122127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 554556 + ... + 554795.

It is an arithmetic number, because the mean of its divisors is an integer number (12480210).

Almost surely, 2^133122120 is an apocalyptic number.

133122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133122120 is an abundant number, since it is smaller than the sum of its proper divisors (266244600).

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

133122120 is a wasteful number, since it uses less digits than its factorization.

133122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109365 (or 1109361 counting only the distinct ones).

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

The square root of 133122120 is about 11537.8559533390. The cubic root of 133122120 is about 510.6030544131.

Adding to 133122120 its reverse (21221331), we get a palindrome (154343451).

The spelling of 133122120 in words is "one hundred thirty-three million, one hundred twenty-two thousand, one hundred twenty".