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200201221021200 = 243527100792364667
BaseRepresentation
bin101101100001010011111010…
…101010011001111000010000
3222020212001100022111001021020
4231201103322222121320100
5202220044100040134300
61545443100554155440
760112026613631220
oct5541237252317020
9866761308431236
10200201221021200
1158876952038883
121a554407a22b80
138792b815526b9
143761b0dd48080
151822a5e8028a0
hexb614faa99e10

200201221021200 has 240 divisors, whose sum is σ = 733000164986880. Its totient is φ = 45755719580160.

The previous prime is 200201221021169. The next prime is 200201221021231. The reversal of 200201221021200 is 2120122102002.

It is an interprime number because it is at equal distance from previous prime (200201221021169) and next prime (200201221021231).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200201221021200.

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 47 ways as a sum of consecutive naturals, for example, 83481267 + ... + 85845933.

It is an arithmetic number, because the mean of its divisors is an integer number (3054167354112).

Almost surely, 2200201221021200 is an apocalyptic number.

200201221021200 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 200201221021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366500082493440).

200201221021200 is an abundant number, since it is smaller than the sum of its proper divisors (532798943965680).

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

200201221021200 is a wasteful number, since it uses less digits than its factorization.

200201221021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374774 (or 2374763 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200201221021200 its reverse (2120122102002), we get a palindrome (202321343123202).

The spelling of 200201221021200 in words is "two hundred trillion, two hundred one billion, two hundred twenty-one million, twenty-one thousand, two hundred".