Search a number
-
+
120223302012 = 2232114715741143
BaseRepresentation
bin110111111110111011…
…1100000000101111100
3102111022120100112021100
41233331313200011330
53432204131131022
6131121350333100
711454150130452
oct1577567400574
9374276315240
10120223302012
1146a93a13240
121b37265a190
13b44c53ca38
145b66c729d2
1531d98b41ac
hex1bfdde017c

120223302012 has 144 divisors (see below), whose sum is σ = 340743416832. Its totient is φ = 35428199040.

The previous prime is 120223301993. The next prime is 120223302013. The reversal of 120223302012 is 210203322021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120223302013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2901513 + ... + 2942655.

It is an arithmetic number, because the mean of its divisors is an integer number (2366273728).

Almost surely, 2120223302012 is an apocalyptic number.

120223302012 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 120223302012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170371708416).

120223302012 is an abundant number, since it is smaller than the sum of its proper divisors (220520114820).

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

120223302012 is a wasteful number, since it uses less digits than its factorization.

120223302012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41368 (or 41363 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120223302012 its reverse (210203322021), we get a palindrome (330426624033).

The spelling of 120223302012 in words is "one hundred twenty billion, two hundred twenty-three million, three hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 157 188 198 282 314 396 423 471 517 564 628 846 942 1034 1413 1551 1692 1727 1884 2068 2826 3102 3454 4653 5181 5652 6204 6908 7379 9306 10362 14758 15543 18612 20724 22137 29516 31086 41143 44274 62172 66411 81169 82286 88548 123429 132822 162338 164572 243507 246858 265644 324676 370287 452573 487014 493716 730521 740574 905146 974028 1357719 1461042 1481148 1810292 1933721 2715438 2922084 3867442 4073157 5430876 5801163 6459451 7734884 8146314 11602326 12918902 16292628 17403489 19378353 21270931 23204652 25837804 34806978 38756706 42541862 58135059 63812793 69613956 71053961 77513412 85083724 116270118 127625586 142107922 191438379 213161883 232540236 255251172 284215844 303594197 382876758 426323766 607188394 639485649 765753516 852647532 910782591 1214376788 1278971298 1821565182 2557942596 2732347773 3339536167 3643130364 5464695546 6679072334 10018608501 10929391092 13358144668 20037217002 30055825503 40074434004 60111651006 120223302012