200123133312 has 128 divisors (see below), whose sum is σ = 545031900000. Its totient is φ = 65022197760.

The previous prime is 200123133311. The next prime is 200123133401. The reversal of 200123133312 is 213331321002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×200123133312² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200123133311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19659168 + ... + 19669344.

Almost surely, 2^200123133312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200123133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272515950000).

200123133312 is an abundant number, since it is smaller than the sum of its proper divisors (344908766688).

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

200123133312 is a wasteful number, since it uses less digits than its factorization.

200123133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11484 (or 11472 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 200123133312 its reverse (213331321002), we get a palindrome (413454454314).

The spelling of 200123133312 in words is "two hundred billion, one hundred twenty-three million, one hundred thirty-three thousand, three hundred twelve".