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12111210010000 = 24541223990287
BaseRepresentation
bin1011000000111101110001…
…0111101101010110010000
31120212211011001022221211201
42300033130113231112100
53041412224230310000
641431451342320544
72360002034341633
oct260173427552620
946784131287751
1012111210010000
11394a376348382
121437297889154
1369b10b7a722a
142dc285779c1a
1516009137e96a
hexb03dc5ed590

12111210010000 has 100 divisors (see below), whose sum is σ = 29346456028032. Its totient is φ = 4840517968000.

The previous prime is 12111210009989. The next prime is 12111210010007. The reversal of 12111210010000 is 1001211121.

12111210010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12111210010007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11734857 + ... + 12725143.

Almost surely, 212111210010000 is an apocalyptic number.

12111210010000 is a gapful number since it is divisible by the number (10) 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 12111210010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14673228014016).

12111210010000 is an abundant number, since it is smaller than the sum of its proper divisors (17235246018032).

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

12111210010000 is an equidigital number, since it uses as much as digits as its factorization.

12111210010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991538 (or 991517 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12111210010000 its reverse (1001211121), we get a palindrome (12112211221121).

The spelling of 12111210010000 in words is "twelve trillion, one hundred eleven billion, two hundred ten million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1223 1250 2000 2446 2500 4892 5000 6115 9784 10000 12230 19568 24460 30575 48920 61150 97840 122300 152875 244600 305750 489200 611500 764375 990287 1223000 1528750 1980574 2446000 3057500 3961148 4951435 6115000 7922296 9902870 12230000 15844592 19805740 24757175 39611480 49514350 79222960 99028700 123785875 198057400 247571750 396114800 495143500 618929375 990287000 1211121001 1237858750 1980574000 2422242002 2475717500 4844484004 4951435000 6055605005 9688968008 9902870000 12111210010 19377936016 24222420020 30278025025 48444840040 60556050050 96889680080 121112100100 151390125125 242224200200 302780250250 484448400400 605560500500 756950625625 1211121001000 1513901251250 2422242002000 3027802502500 6055605005000 12111210010000