200202112000 has 176 divisors, whose sum is σ = 544869804960. Its totient is φ = 72800256000.

The previous prime is 200202111983. The next prime is 200202112009. The reversal of 200202112000 is 211202002.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (200202112009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1336906 + ... + 1479094.

Almost surely, 2^200202112000 is an apocalyptic number.

200202112000 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 200202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272434902480).

200202112000 is an abundant number, since it is smaller than the sum of its proper divisors (344667692960).

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

200202112000 is a wasteful number, since it uses less digits than its factorization.

200202112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142235 (or 142207 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200202112000 its reverse (211202002), we get a palindrome (200413314002).

The spelling of 200202112000 in words is "two hundred billion, two hundred two million, one hundred twelve thousand".