202133121432 has 256 divisors, whose sum is σ = 609866219520. Its totient is φ = 55165017600.

The previous prime is 202133121419. The next prime is 202133121433. The reversal of 202133121432 is 234121331202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202133121433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6950073 + ... + 6979095.

It is an arithmetic number, because the mean of its divisors is an integer number (2382289920).

Almost surely, 2^202133121432 is an apocalyptic number.

202133121432 is a gapful number since it is divisible by the number (22) 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 202133121432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304933109760).

202133121432 is an abundant number, since it is smaller than the sum of its proper divisors (407733098088).

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

202133121432 is a wasteful number, since it uses less digits than its factorization.

202133121432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29134 (or 29130 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 202133121432 its reverse (234121331202), we get a palindrome (436254452634).

The spelling of 202133121432 in words is "two hundred two billion, one hundred thirty-three million, one hundred twenty-one thousand, four hundred thirty-two".