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12000002110000 = 24547963150697
BaseRepresentation
bin1010111010011111011111…
…0111001111001000110000
31120111012002210001022011121
42232213313313033020300
53033102001020010000
641304420323152024
72345654144651062
oct256476767171060
946435083038147
1012000002110000
113907199396103
121419820515614
13690797c7b0c8
142d6b35dab732
1515c2331dab1a
hexae9f7dcf230

12000002110000 has 100 divisors (see below), whose sum is σ = 29057046449992. Its totient is φ = 4799366208000.

The previous prime is 12000002109971. The next prime is 12000002110001. The reversal of 12000002110000 is 1120000021.

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

It is not an unprimeable number, because it can be changed into a prime (12000002110001) 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, 79554652 + ... + 79705348.

Almost surely, 212000002110000 is an apocalyptic number.

12000002110000 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 12000002110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14528523224996).

12000002110000 is an abundant number, since it is smaller than the sum of its proper divisors (17057044339992).

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

12000002110000 is an equidigital number, since it uses as much as digits as its factorization.

12000002110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158688 (or 158667 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12000002110000 its reverse (1120000021), we get a palindrome (12001122110021).

It can be divided in two parts, 120000021 and 10000, that added together give a palindrome (120010021).

The spelling of 12000002110000 in words is "twelve trillion, two million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 7963 10000 15926 31852 39815 63704 79630 127408 150697 159260 199075 301394 318520 398150 602788 637040 753485 796300 995375 1205576 1506970 1592600 1990750 2411152 3013940 3185200 3767425 3981500 4976875 6027880 7534850 7963000 9953750 12055760 15069700 15926000 18837125 19907500 30139400 37674250 39815000 60278800 75348500 79630000 94185625 150697000 188371250 301394000 376742500 753485000 1200000211 1506970000 2400000422 4800000844 6000001055 9600001688 12000002110 19200003376 24000004220 30000005275 48000008440 60000010550 96000016880 120000021100 150000026375 240000042200 300000052750 480000084400 600000105500 750000131875 1200000211000 1500000263750 2400000422000 3000000527500 6000001055000 12000002110000