200111121012000 has 1536 divisors, whose sum is σ = 763290909868032. Its totient is φ = 45370368000000.

The previous prime is 200111121011987. The next prime is 200111121012001. The reversal of 200111121012000 is 210121111002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (200111121012001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22861999624 + ... + 22862008376.

It is an arithmetic number, because the mean of its divisors is an integer number (496934186112).

Almost surely, 2^{200111121012000} is an apocalyptic number.

200111121012000 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 200111121012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381645454934016).

200111121012000 is an abundant number, since it is smaller than the sum of its proper divisors (563179788856032).

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

200111121012000 is a wasteful number, since it uses less digits than its factorization.

200111121012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9011 (or 8993 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 200111121012000 its reverse (210121111002), we get a palindrome (200321242123002).

The spelling of 200111121012000 in words is "two hundred trillion, one hundred eleven billion, one hundred twenty-one million, twelve thousand".