200201210112000 has 384 divisors, whose sum is σ = 687594366950400. Its totient is φ = 51664822272000.

The previous prime is 200201210111993. The next prime is 200201210112023. The reversal of 200201210112000 is 211012102002.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19603506 + ... + 28012494.

It is an arithmetic number, because the mean of its divisors is an integer number (1790610330600).

Almost surely, 2^{200201210112000} is an apocalyptic number.

200201210112000 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 200201210112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343797183475200).

200201210112000 is an abundant number, since it is smaller than the sum of its proper divisors (487393156838400).

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

200201210112000 is an equidigital number, since it uses as much as digits as its factorization.

200201210112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8409060 (or 8409030 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200201210112000 its reverse (211012102002), we get a palindrome (200412222214002).

The spelling of 200201210112000 in words is "two hundred trillion, two hundred one billion, two hundred ten million, one hundred twelve thousand".