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201212020201200 = 243522339979182353
BaseRepresentation
bin101101110000000001010010…
…111111010001011011110000
3222101102200101122110122201220
4231300001102333101123300
5202333124204132414300
61551535305340425040
760245042302122111
oct5560012277213360
9871380348418656
10201212020201200
11591265a18a9518
121a6982a2548180
13883729ac62278
1437989dc708208
15183debe18ada0
hexb70052fd16f0

201212020201200 has 240 divisors, whose sum is σ = 672593559947520. Its totient is φ = 51322080522240.

The previous prime is 201212020201111. The next prime is 201212020201261. The reversal of 201212020201200 is 2102020212102.

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 201212020201200.

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 47 ways as a sum of consecutive naturals, for example, 1103329224 + ... + 1103511576.

It is an arithmetic number, because the mean of its divisors is an integer number (2802473166448).

Almost surely, 2201212020201200 is an apocalyptic number.

201212020201200 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 201212020201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336296779973760).

201212020201200 is an abundant number, since it is smaller than the sum of its proper divisors (471381539746320).

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

201212020201200 is a wasteful number, since it uses less digits than its factorization.

201212020201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222376 (or 222365 counting only the distinct ones).

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

Adding to 201212020201200 its reverse (2102020212102), we get a palindrome (203314040413302).

The spelling of 201212020201200 in words is "two hundred one trillion, two hundred twelve billion, twenty million, two hundred one thousand, two hundred".