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12000201110000 = 245411310619647
BaseRepresentation
bin1010111010100000001110…
…1110010111000111110000
31120111012121122111112211222
42232220003232113013300
53033102402441010000
641304452152324212
72345662112302025
oct256500356270760
946435548445758
1012000201110000
113907290755814
1214198770a3668
136907ca27519c
142d6b545ad54c
1515c2458e8a85
hexaea03b971f0

12000201110000 has 100 divisors (see below), whose sum is σ = 29310801940992. Its totient is φ = 4757601408000.

The previous prime is 12000201109933. The next prime is 12000201110039. The reversal of 12000201110000 is 1110200021.

12000201110000 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 (8).

It is a self number, because there is not a number n which added to its sum of digits gives 12000201110000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4179824 + ... + 6439823.

Almost surely, 212000201110000 is an apocalyptic number.

12000201110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000201110000 is an abundant number, since it is smaller than the sum of its proper divisors (17310600830992).

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

12000201110000 is a wasteful number, since it uses less digits than its factorization.

12000201110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10619788 (or 10619767 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12000201110000 its reverse (1110200021), we get a palindrome (12001311310021).

The spelling of 12000201110000 in words is "twelve trillion, two hundred one million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 125 200 226 250 400 452 500 565 625 904 1000 1130 1250 1808 2000 2260 2500 2825 4520 5000 5650 9040 10000 11300 14125 22600 28250 45200 56500 70625 113000 141250 226000 282500 565000 1130000 10619647 21239294 42478588 53098235 84957176 106196470 169914352 212392940 265491175 424785880 530982350 849571760 1061964700 1200020111 1327455875 2123929400 2400040222 2654911750 4247858800 4800080444 5309823500 6000100555 6637279375 9600160888 10619647000 12000201110 13274558750 19200321776 21239294000 24000402220 26549117500 30000502775 48000804440 53098235000 60001005550 96001608880 106196470000 120002011100 150002513875 240004022200 300005027750 480008044400 600010055500 750012569375 1200020111000 1500025138750 2400040222000 3000050277500 6000100555000 12000201110000