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201212122010200 = 23527143722944293
BaseRepresentation
bin101101110000000001011001…
…000011101001001001011000
3222101102200122202001002102121
4231300001121003221021120
5202333124411213311300
61551535323414511024
760245044646360260
oct5560013103511130
9871380582032377
10201212122010200
1159126644316094
121a698310665474
1388372b608a292
143798a0c04a7a0
15183dec809b81a
hexb700590e9258

201212122010200 has 48 divisors (see below), whose sum is σ = 534649352773680. Its totient is φ = 68987013260160.

The previous prime is 201212122010089. The next prime is 201212122010201. The reversal of 201212122010200 is 2010221212102.

It is a happy number.

It is a super-2 number, since 2×2012121220102002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201212122010201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71861470747 + ... + 71861473546.

It is an arithmetic number, because the mean of its divisors is an integer number (11138528182785).

Almost surely, 2201212122010200 is an apocalyptic number.

201212122010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201212122010200 is an abundant number, since it is smaller than the sum of its proper divisors (333437230763480).

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

201212122010200 is a wasteful number, since it uses less digits than its factorization.

201212122010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143722944316 (or 143722944307 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201212122010200 its reverse (2010221212102), we get a palindrome (203222343222302).

The spelling of 201212122010200 in words is "two hundred one trillion, two hundred twelve billion, one hundred twenty-two million, ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 143722944293 287445888586 574891777172 718614721465 1006060610051 1149783554344 1437229442930 2012121220102 2874458885860 3593073607325 4024242440204 5030303050255 5748917771720 7186147214650 8048484880408 10060606100510 14372294429300 20121212201020 25151515251275 28744588858600 40242424402040 50303030502550 100606061005100 201212122010200