133122003120 has 400 divisors, whose sum is σ = 471892484448. Its totient is φ = 34771783680.

The previous prime is 133122003109. The next prime is 133122003127. The reversal of 133122003120 is 21300221331.

133122003120 is a `hidden beast` number, since 1 + 331 + 2 + 20 + 0 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133122003093 and 133122003102.

It is not an unprimeable number, because it can be changed into a prime (133122003127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 121350412 + ... + 121351508.

Almost surely, 2^133122003120 is an apocalyptic number.

133122003120 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 133122003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235946242224).

133122003120 is an abundant number, since it is smaller than the sum of its proper divisors (338770481328).

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

133122003120 is a wasteful number, since it uses less digits than its factorization.

133122003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133122003120 its reverse (21300221331), we get a palindrome (154422224451).

The spelling of 133122003120 in words is "one hundred thirty-three billion, one hundred twenty-two million, three thousand, one hundred twenty".