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12011021212200 = 23352120383166289
BaseRepresentation
bin1010111011001000100010…
…1001110001101000101000
31120112020112201102200200220
42232302020221301220220
53033242032412242300
641313441552530040
72346524205533343
oct256621051615050
946466481380626
1012011021212200
11391093339073a
12141b996850920
13691832b3331a
142d749d61145a
1515c67a79eda0
hexaec88a71a28

12011021212200 has 96 divisors (see below), whose sum is σ = 37234698969600. Its totient is φ = 3202893122560.

The previous prime is 12011021212139. The next prime is 12011021212217. The reversal of 12011021212200 is 221212011021.

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 12011021212200.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 72146656 + ... + 72312944.

It is an arithmetic number, because the mean of its divisors is an integer number (387861447600).

Almost surely, 212011021212200 is an apocalyptic number.

12011021212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011021212200 is an abundant number, since it is smaller than the sum of its proper divisors (25223677757400).

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

12011021212200 is a wasteful number, since it uses less digits than its factorization.

12011021212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286691 (or 286682 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12011021212200 its reverse (221212011021), we get a palindrome (12232233223221).

The spelling of 12011021212200 in words is "twelve trillion, eleven billion, twenty-one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 120383 166289 240766 332578 361149 481532 498867 601915 665156 722298 831445 963064 997734 1203830 1330312 1444596 1662890 1805745 1995468 2407660 2494335 2889192 3009575 3325780 3611490 3990936 4157225 4815320 4988670 6019150 6651560 7222980 8314450 9028725 9977340 12038300 12471675 14445960 16628900 18057450 19954680 24076600 24943350 33257800 36114900 49886700 72229800 99773400 20018368687 40036737374 60055106061 80073474748 100091843435 120110212122 160146949496 200183686870 240220424244 300275530305 400367373740 480440848488 500459217175 600551060610 800734747480 1000918434350 1201102121220 1501377651525 2001836868700 2402204242440 3002755303050 4003673737400 6005510606100 12011021212200