202133232120 has 128 divisors (see below), whose sum is σ = 621586563840. Its totient is φ = 52556636160.

The previous prime is 202133232083. The next prime is 202133232143. The reversal of 202133232120 is 21232331202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2943375 + ... + 3011265.

It is an arithmetic number, because the mean of its divisors is an integer number (4856145030).

Almost surely, 2^202133232120 is an apocalyptic number.

202133232120 is a gapful number since it is divisible by the number (20) 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 202133232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310793281920).

202133232120 is an abundant number, since it is smaller than the sum of its proper divisors (419453331720).

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

202133232120 is a wasteful number, since it uses less digits than its factorization.

202133232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68525 (or 68521 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 202133232120 its reverse (21232331202), we get a palindrome (223365563322).

The spelling of 202133232120 in words is "two hundred two billion, one hundred thirty-three million, two hundred thirty-two thousand, one hundred twenty".