202133330112120 has 512 divisors, whose sum is σ = 670626153999360. Its totient is φ = 48332021760000.

The previous prime is 202133330112083. The next prime is 202133330112139. The reversal of 202133330112120 is 21211033331202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 81934871127 + ... + 81934873593.

It is an arithmetic number, because the mean of its divisors is an integer number (1309816707030).

Almost surely, 2^{202133330112120} is an apocalyptic number.

202133330112120 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 202133330112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335313076999680).

202133330112120 is an abundant number, since it is smaller than the sum of its proper divisors (468492823887240).

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

202133330112120 is a wasteful number, since it uses less digits than its factorization.

202133330112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4687 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 202133330112120 its reverse (21211033331202), we get a palindrome (223344363443322).

The spelling of 202133330112120 in words is "two hundred two trillion, one hundred thirty-three billion, three hundred thirty million, one hundred twelve thousand, one hundred twenty".