200110022112000 has 4608 divisors, whose sum is σ = 956777624764416. Its totient is φ = 35707060224000.

The previous prime is 200110022111969. The next prime is 200110022112029. The reversal of 200110022112000 is 211220011002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 81777694777 + ... + 81777697223.

It is an arithmetic number, because the mean of its divisors is an integer number (207634033152).

Almost surely, 2^{200110022112000} is an apocalyptic number.

200110022112000 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 200110022112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478388812382208).

200110022112000 is an abundant number, since it is smaller than the sum of its proper divisors (756667602652416).

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

200110022112000 is a wasteful number, since it uses less digits than its factorization.

200110022112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2548 counting only the distinct ones).

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

Adding to 200110022112000 its reverse (211220011002), we get a palindrome (200321242123002).

The spelling of 200110022112000 in words is "two hundred trillion, one hundred ten billion, twenty-two million, one hundred twelve thousand".