200112001011000 has 896 divisors, whose sum is σ = 756756994593600. Its totient is φ = 49214073830400.

The previous prime is 200112001010993. The next prime is 200112001011031. The reversal of 200112001011000 is 110100211002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 11249190106 + ... + 11249207894.

Almost surely, 2^{200112001011000} is an apocalyptic number.

200112001011000 is a gapful number since it is divisible by the number (20) 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 200112001011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378378497296800).

200112001011000 is an abundant number, since it is smaller than the sum of its proper divisors (556644993582600).

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

200112001011000 is a wasteful number, since it uses less digits than its factorization.

200112001011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19028 (or 18999 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 200112001011000 its reverse (110100211002), we get a palindrome (200222101222002).

The spelling of 200112001011000 in words is "two hundred trillion, one hundred twelve billion, one million, eleven thousand".