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121188230208 = 26321712376249
BaseRepresentation
bin111000011011101100…
…0011010010001000000
3102120210211000221220200
41300313120122101000
53441143141331313
6131401220205200
711520104650263
oct1606730322100
9376724027820
10121188230208
1147439662061
121b5a1839800
13b57441a576
145c19090cda
153244468b73
hex1c3761a440

121188230208 has 84 divisors (see below), whose sum is σ = 367797397500. Its totient is φ = 38019833856.

The previous prime is 121188230203. The next prime is 121188230221. The reversal of 121188230208 is 802032881121.

121188230208 is a `hidden beast` number, since 1 + 211 + 8 + 8 + 230 + 208 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83331523584 + 37856706624 = 288672^2 + 194568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (121188230203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6178333 + ... + 6197916.

Almost surely, 2121188230208 is an apocalyptic number.

121188230208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121188230208 is an abundant number, since it is smaller than the sum of its proper divisors (246609167292).

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

121188230208 is a wasteful number, since it uses less digits than its factorization.

121188230208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12376284 (or 12376271 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 121188230208 in words is "one hundred twenty-one billion, one hundred eighty-eight million, two hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 12376249 24752498 37128747 49504996 74257494 99009992 111386241 148514988 198019984 210396233 222772482 297029976 396039968 420792466 445544964 594059952 631188699 792079936 841584932 891089928 1188119904 1262377398 1683169864 1782179856 1893566097 2376239808 2524754796 3366339728 3564359712 3787132194 5049509592 6732679456 7128719424 7574264388 10099019184 13465358912 15148528776 20198038368 30297057552 40396076736 60594115104 121188230208