202330021120 has 288 divisors, whose sum is σ = 550732089600. Its totient is φ = 70804242432.

The previous prime is 202330021043. The next prime is 202330021151. The reversal of 202330021120 is 21120033202.

202330021120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 202330021094 and 202330021103.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16215204 + ... + 16227676.

It is an arithmetic number, because the mean of its divisors is an integer number (1912264200).

Almost surely, 2^202330021120 is an apocalyptic number.

202330021120 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 202330021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275366044800).

202330021120 is an abundant number, since it is smaller than the sum of its proper divisors (348402068480).

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

202330021120 is a wasteful number, since it uses less digits than its factorization.

202330021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12565 (or 12551 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 202330021120 its reverse (21120033202), we get a palindrome (223450054322).

The spelling of 202330021120 in words is "two hundred two billion, three hundred thirty million, twenty-one thousand, one hundred twenty".