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200202000121200 = 2435271119178963743
BaseRepresentation
bin101101100001010100101001…
…000110011011110101110000
3222020212010100121111102112210
4231201110221012123311300
5202220102144012334300
61545443310145052120
760112055124106620
oct5541245106336560
9866763317442483
10200202000121200
11588772118a4180
121a5545a4927040
138792c76a9860c
143761b855d2880
151822aa7dec050
hexb6152919bd70

200202000121200 has 960 divisors, whose sum is σ = 842125757644800. Its totient is φ = 39388272537600.

The previous prime is 200202000121199. The next prime is 200202000121247. The reversal of 200202000121200 is 2121000202002.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3140736529 + ... + 3140800271.

It is an arithmetic number, because the mean of its divisors is an integer number (877214330880).

Almost surely, 2200202000121200 is an apocalyptic number.

200202000121200 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 200202000121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421062878822400).

200202000121200 is an abundant number, since it is smaller than the sum of its proper divisors (641923757523600).

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

200202000121200 is a wasteful number, since it uses less digits than its factorization.

200202000121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65590 (or 65579 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200202000121200 its reverse (2121000202002), we get a palindrome (202323000323202).

The spelling of 200202000121200 in words is "two hundred trillion, two hundred two billion, one hundred twenty-one thousand, two hundred".