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120210000912 = 2433835416197
BaseRepresentation
bin110111111110100010…
…0110000110000010000
3102111021122022202121000
41233331010300300100
53432142230012122
6131120153302000
711453626101651
oct1577504606020
9374248282530
10120210000912
1146a874589a1
121b36a104900
13b449863771
145b651ad528
1531d86380ac
hex1bfd130c10

120210000912 has 160 divisors (see below), whose sum is σ = 349906354560. Its totient is φ = 39507678720.

The previous prime is 120210000901. The next prime is 120210000913. The reversal of 120210000912 is 219000012021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120210000913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19394998 + ... + 19401194.

It is an arithmetic number, because the mean of its divisors is an integer number (2186914716).

Almost surely, 2120210000912 is an apocalyptic number.

120210000912 is a gapful number since it is divisible by the number (12) 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 120210000912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174953177280).

120210000912 is an abundant number, since it is smaller than the sum of its proper divisors (229696353648).

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

120210000912 is a wasteful number, since it uses less digits than its factorization.

120210000912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6838 (or 6826 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 120210000912 its reverse (219000012021), we get a palindrome (339210012933).

The spelling of 120210000912 in words is "one hundred twenty billion, two hundred ten million, nine hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 216 249 332 432 498 541 664 747 996 1082 1328 1494 1623 1992 2164 2241 2988 3246 3984 4328 4482 4869 5976 6197 6492 8656 8964 9738 11952 12394 12984 14607 17928 18591 19476 24788 25968 29214 35856 37182 38952 44903 49576 55773 58428 74364 77904 89806 99152 111546 116856 134709 148728 167319 179612 223092 233712 269418 297456 334638 359224 404127 446184 514351 538836 669276 718448 808254 892368 1028702 1077672 1212381 1338552 1543053 1616508 2057404 2155344 2424762 2677104 3086106 3233016 3352577 4114808 4629159 4849524 6172212 6466032 6705154 8229616 9258318 9699048 10057731 12344424 13410308 13887477 18516636 19398096 20115462 24688848 26820616 27774954 30173193 37033272 40230924 53641232 55549908 60346386 74066544 80461848 90519579 111099816 120692772 160923696 181039158 222199632 241385544 278263891 362078316 482771088 556527782 724156632 834791673 1113055564 1448313264 1669583346 2226111128 2504375019 3339166692 4452222256 5008750038 6678333384 7513125057 10017500076 13356666768 15026250114 20035000152 30052500228 40070000304 60105000456 120210000912