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12011110110120 = 2335119099325841
BaseRepresentation
bin1010111011001000110111…
…1100111001001110101000
31120112020202220201011201110
42232302031330321032220
53033242223142010440
641313454450150320
72346526335256062
oct256621574711650
946466686634643
1012011110110120
113910979589aa0
12141ba005823a0
1369184838a744
142d74ab352732
1515c6834b0080
hexaec8df393a8

12011110110120 has 64 divisors (see below), whose sum is σ = 39309087637440. Its totient is φ = 2911784268800.

The previous prime is 12011110110061. The next prime is 12011110110143. The reversal of 12011110110120 is 2101101111021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12011110110096 and 12011110110105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4549661601 + ... + 4549664240.

It is an arithmetic number, because the mean of its divisors is an integer number (614204494335).

Almost surely, 212011110110120 is an apocalyptic number.

12011110110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011110110120 is an abundant number, since it is smaller than the sum of its proper divisors (27297977527320).

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

12011110110120 is a wasteful number, since it uses less digits than its factorization.

12011110110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9099325866 (or 9099325862 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12011110110120 its reverse (2101101111021), we get a palindrome (14112211221141).

The spelling of 12011110110120 in words is "twelve trillion, eleven billion, one hundred ten million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 9099325841 18198651682 27297977523 36397303364 45496629205 54595955046 72794606728 90993258410 100092584251 109191910092 136489887615 181986516820 200185168502 218383820184 272979775230 300277752753 363973033640 400370337004 500462921255 545959550460 600555505506 800740674008 1000925842510 1091919100920 1201111011012 1501388763765 2001851685020 2402222022024 3002777527530 4003703370040 6005555055060 12011110110120