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12012111101100 = 22352113640033667
BaseRepresentation
bin1010111011001100100110…
…0111010111110010101100
31120112100100200020210012110
42232303021213113302230
53033301300420213400
641314142045004020
72346563211455115
oct256631147276254
946470320223173
1012012111101100
11391134261a370
12142003b853610
136919778839b6
142d756427b20c
1515c6e12d9e50
hexaecc99d7cac

12012111101100 has 72 divisors (see below), whose sum is σ = 37914590685888. Its totient is φ = 2912026932800.

The previous prime is 12012111101087. The next prime is 12012111101153. The reversal of 12012111101100 is 110111121021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1820013534 + ... + 1820020133.

It is an arithmetic number, because the mean of its divisors is an integer number (526591537304).

Almost surely, 212012111101100 is an apocalyptic number.

12012111101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012111101100 is an abundant number, since it is smaller than the sum of its proper divisors (25902479584788).

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

12012111101100 is a wasteful number, since it uses less digits than its factorization.

12012111101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640033695 (or 3640033688 counting only the distinct ones).

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

Adding to 12012111101100 its reverse (110111121021), we get a palindrome (12122222222121).

The spelling of 12012111101100 in words is "twelve trillion, twelve billion, one hundred eleven million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3640033667 7280067334 10920101001 14560134668 18200168335 21840202002 36400336670 40040370337 43680404004 54600505005 72800673340 80080740674 91000841675 109201010010 120121111011 160161481348 182001683350 200201851685 218402020020 240242222022 273002525025 364003366700 400403703370 480484444044 546005050050 600605555055 800807406740 1001009258425 1092010100100 1201211110110 2002018516850 2402422220220 3003027775275 4004037033700 6006055550550 12012111101100