133424322120 has 512 divisors, whose sum is σ = 472308019200. Its totient is φ = 33460936704.

The previous prime is 133424322103. The next prime is 133424322127. The reversal of 133424322120 is 21223424331.

133424322120 is a `hidden beast` number, since 1 + 334 + 2 + 4 + 322 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (133424322127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 154604809 + ... + 154605671.

It is an arithmetic number, because the mean of its divisors is an integer number (922476600).

Almost surely, 2^133424322120 is an apocalyptic number.

133424322120 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 133424322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236154009600).

133424322120 is an abundant number, since it is smaller than the sum of its proper divisors (338883697080).

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

133424322120 is a wasteful number, since it uses less digits than its factorization.

133424322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 133424322120 its reverse (21223424331), we get a palindrome (154647746451).

The spelling of 133424322120 in words is "one hundred thirty-three billion, four hundred twenty-four million, three hundred twenty-two thousand, one hundred twenty".