200209994109312 has 1024 divisors, whose sum is σ = 621403585044480. Its totient is φ = 56545542144000.

The previous prime is 200209994109277. The next prime is 200209994109313. The reversal of 200209994109312 is 213901499902002.

It is a super-2 number, since 2×200209994109312² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200209994109313) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 145819368658 + ... + 145819370030.

It is an arithmetic number, because the mean of its divisors is an integer number (606839438520).

Almost surely, 2^{200209994109312} is an apocalyptic number.

200209994109312 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 200209994109312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310701792522240).

200209994109312 is an abundant number, since it is smaller than the sum of its proper divisors (421193590935168).

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

200209994109312 is a wasteful number, since it uses less digits than its factorization.

200209994109312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 51.

The spelling of 200209994109312 in words is "two hundred trillion, two hundred nine billion, nine hundred ninety-four million, one hundred nine thousand, three hundred twelve".