200122111011200 has 384 divisors, whose sum is σ = 597712607040000. Its totient is φ = 64675398205440.

The previous prime is 200122111011149. The next prime is 200122111011203. The reversal of 200122111011200 is 2110111221002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200122111011203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83512964 + ... + 85875836.

It is an arithmetic number, because the mean of its divisors is an integer number (1556543247500).

Almost surely, 2^{200122111011200} is an apocalyptic number.

200122111011200 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 200122111011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298856303520000).

200122111011200 is an abundant number, since it is smaller than the sum of its proper divisors (397590496028800).

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

200122111011200 is a wasteful number, since it uses less digits than its factorization.

200122111011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363122 (or 2363105 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 200122111011200 its reverse (2110111221002), we get a palindrome (202232222232202).

The spelling of 200122111011200 in words is "two hundred trillion, one hundred twenty-two billion, one hundred eleven million, eleven thousand, two hundred".