Search a number
-
+
122212011150 = 232521674993259
BaseRepresentation
bin111000111010001100…
…1110100110010001110
3102200110011110102100100
41301310121310302032
54000242233324100
6132050551311530
711554345645335
oct1616431646216
9380404412310
10122212011150
1147914548909
121b82867b5a6
13b6a8562ac8
145cb502cd1c
1532a4296400
hex1c74674c8e

122212011150 has 144 divisors (see below), whose sum is σ = 331072560000. Its totient is φ = 32319881280.

The previous prime is 122212011137. The next prime is 122212011151. The reversal of 122212011150 is 51110212221.

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 (122212011151) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 37498221 + ... + 37501479.

It is an arithmetic number, because the mean of its divisors is an integer number (2299115000).

Almost surely, 2122212011150 is an apocalyptic number.

122212011150 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 122212011150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165536280000).

122212011150 is an abundant number, since it is smaller than the sum of its proper divisors (208860548850).

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

122212011150 is a wasteful number, since it uses less digits than its factorization.

122212011150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 122212011150 its reverse (51110212221), we get a palindrome (173322223371).

The spelling of 122212011150 in words is "one hundred twenty-two billion, two hundred twelve million, eleven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 167 225 334 450 499 501 835 998 1002 1497 1503 1670 2495 2505 2994 3006 3259 4175 4491 4990 5010 6518 7485 7515 8350 8982 9777 12475 12525 14970 15030 16295 19554 22455 24950 25050 29331 32590 37425 37575 44910 48885 58662 74850 75150 81475 83333 97770 112275 146655 162950 166666 224550 244425 249999 293310 416665 488850 499998 544253 733275 749997 833330 1088506 1249995 1466550 1499994 1626241 1632759 2083325 2499990 2721265 3252482 3265518 3749985 4166650 4878723 4898277 5442530 6249975 7499970 8131205 8163795 9757446 9796554 12499950 13606325 14636169 16262410 16327590 18749925 24393615 24491385 27212650 29272338 37499850 40656025 40818975 48787230 48982770 73180845 81312050 81637950 121968075 122456925 146361690 243936150 244913850 271582247 365904225 543164494 731808450 814746741 1357911235 1629493482 2444240223 2715822470 4073733705 4888480446 6789556175 8147467410 12221201115 13579112350 20368668525 24442402230 40737337050 61106005575 122212011150