133233012200120 has 128 divisors (see below), whose sum is σ = 346479497395200. Its totient is φ = 45162605030400.

The previous prime is 133233012200053. The next prime is 133233012200129. The reversal of 133233012200120 is 21002210332331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133233012200129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286123085 + ... + 286588355.

It is an arithmetic number, because the mean of its divisors is an integer number (2706871073400).

Almost surely, 2^{133233012200120} is an apocalyptic number.

133233012200120 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 133233012200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173239748697600).

133233012200120 is an abundant number, since it is smaller than the sum of its proper divisors (213246485195080).

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

133233012200120 is a wasteful number, since it uses less digits than its factorization.

133233012200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476869 (or 476865 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 133233012200120 its reverse (21002210332331), we get a palindrome (154235222532451).

The spelling of 133233012200120 in words is "one hundred thirty-three trillion, two hundred thirty-three billion, twelve million, two hundred thousand, one hundred twenty".