133034220400120 has 64 divisors (see below), whose sum is σ = 332750605904640. Its totient is φ = 47535800832000.

The previous prime is 133034220400097. The next prime is 133034220400127. The reversal of 133034220400120 is 21004022430331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133034220400127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4126355481 + ... + 4126387720.

It is an arithmetic number, because the mean of its divisors is an integer number (5199228217260).

Almost surely, 2^{133034220400120} is an apocalyptic number.

133034220400120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133034220400120 is an abundant number, since it is smaller than the sum of its proper divisors (199716385504520).

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

133034220400120 is a wasteful number, since it uses less digits than its factorization.

133034220400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8252743256 (or 8252743252 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 133034220400120 its reverse (21004022430331), we get a palindrome (154038242830451).

The spelling of 133034220400120 in words is "one hundred thirty-three trillion, thirty-four billion, two hundred twenty million, four hundred thousand, one hundred twenty".