200213934432512 has 3456 divisors, whose sum is σ = 641279120670720. Its totient is φ = 60866297856000.

The previous prime is 200213934432509. The next prime is 200213934432521. The reversal of 200213934432512 is 215234439312002.

It is a self number, because there is not a number n which added to its sum of digits gives 200213934432512.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1275247989938 + ... + 1275247990094.

It is an arithmetic number, because the mean of its divisors is an integer number (185555301120).

Almost surely, 2^{200213934432512} is an apocalyptic number.

200213934432512 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 200213934432512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320639560335360).

200213934432512 is an abundant number, since it is smaller than the sum of its proper divisors (441065186238208).

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

200213934432512 is a wasteful number, since it uses less digits than its factorization.

200213934432512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 200213934432512 in words is "two hundred trillion, two hundred thirteen billion, nine hundred thirty-four million, four hundred thirty-two thousand, five hundred twelve".