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120212013330 = 2345198394109
BaseRepresentation
bin110111111110100110…
…0011100000100010010
3102111021210010000010000
41233331030130010102
53432143233411310
6131120304350430
711453652153033
oct1577514340422
9374253100100
10120212013330
1146a88602952
121b36a915416
13b44a0b9746
145b65574a8a
1531d88d44c0
hex1bfd31c112

120212013330 has 160 divisors (see below), whose sum is σ = 344352254400. Its totient is φ = 30003136128.

The previous prime is 120212013329. The next prime is 120212013347. The reversal of 120212013330 is 33310212021.

120212013330 is a `hidden beast` number, since 1 + 202 + 120 + 13 + 330 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1230316 + ... + 1324424.

It is an arithmetic number, because the mean of its divisors is an integer number (2152201590).

Almost surely, 2120212013330 is an apocalyptic number.

120212013330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120212013330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172176127200).

120212013330 is an abundant number, since it is smaller than the sum of its proper divisors (224140241070).

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

120212013330 is a wasteful number, since it uses less digits than its factorization.

120212013330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94230 (or 94221 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120212013330 its reverse (33310212021), we get a palindrome (153522225351).

The spelling of 120212013330 in words is "one hundred twenty billion, two hundred twelve million, thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 83 90 95 114 135 162 166 171 190 249 270 285 342 405 415 498 513 570 747 810 830 855 1026 1245 1494 1539 1577 1710 2241 2490 2565 3078 3154 3735 4482 4731 5130 6723 7470 7695 7885 9462 11205 13446 14193 15390 15770 22410 23655 28386 33615 42579 47310 67230 70965 85158 94109 127737 141930 188218 212895 255474 282327 425790 470545 564654 638685 846981 941090 1277370 1411635 1693962 1788071 2540943 2823270 3576142 4234905 5081886 5364213 7622829 7811047 8469810 8940355 10728426 12704715 15245658 15622094 16092639 17880710 23433141 25409430 26821065 32185278 38114145 39055235 46866282 48277917 53642130 70299423 76228290 78110470 80463195 96555834 117165705 140598846 144833751 148409893 160926390 210898269 234331410 241389585 289667502 296819786 351497115 421796538 445229679 482779170 632694807 702994230 724168755 742049465 890459358 1054491345 1265389614 1335689037 1448337510 1484098930 2108982690 2226148395 2671378074 3163474035 4007067111 4452296790 6326948070 6678445185 8014134222 12021201333 13356890370 20035335555 24042402666 40070671110 60106006665 120212013330