200210122112000 has 1408 divisors, whose sum is σ = 705936063006720. Its totient is φ = 54570516480000.

The previous prime is 200210122111841. The next prime is 200210122112017. The reversal of 200210122112000 is 211221012002.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×200210122112000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2434390880 + ... + 2434473120.

Almost surely, 2^{200210122112000} is an apocalyptic number.

200210122112000 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 200210122112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352968031503360).

200210122112000 is an abundant number, since it is smaller than the sum of its proper divisors (505725940894720).

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

200210122112000 is a wasteful number, since it uses less digits than its factorization.

200210122112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82326 (or 82298 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200210122112000 its reverse (211221012002), we get a palindrome (200421343124002).

The spelling of 200210122112000 in words is "two hundred trillion, two hundred ten billion, one hundred twenty-two million, one hundred twelve thousand".