204213031334312 has 256 divisors, whose sum is σ = 528818501836800. Its totient is φ = 71363480647680.

The previous prime is 204213031334287. The next prime is 204213031334317. The reversal of 204213031334312 is 213433130312402.

204213031334312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×204213031334312² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204213031334317) 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, 50364548 + ... + 54267980.

It is an arithmetic number, because the mean of its divisors is an integer number (2065697272800).

Almost surely, 2^{204213031334312} is an apocalyptic number.

204213031334312 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 204213031334312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264409250918400).

204213031334312 is an abundant number, since it is smaller than the sum of its proper divisors (324605470502488).

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

204213031334312 is a wasteful number, since it uses less digits than its factorization.

204213031334312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3903656 (or 3903652 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 204213031334312 its reverse (213433130312402), we get a palindrome (417646161646714).

The spelling of 204213031334312 in words is "two hundred four trillion, two hundred thirteen billion, thirty-one million, three hundred thirty-four thousand, three hundred twelve".