Search a number
-
+
121022274312 = 23343173531669
BaseRepresentation
bin111000010110101111…
…1010101101100001000
3102120101020202112020000
41300231133111230020
53440323200234222
6131332531203000
711513021233662
oct1605537255410
9376336675200
10121022274312
1147363a11a25
121b556146460
13b548c22c04
145c01011532
153234ad69ac
hex1c2d7d5b08

121022274312 has 160 divisors (see below), whose sum is σ = 341211360600. Its totient is φ = 40075554816.

The previous prime is 121022274301. The next prime is 121022274319. The reversal of 121022274312 is 213472220121.

It is a happy number.

121022274312 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 2 + 227 + 431 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71228136996 + 49794137316 = 266886^2 + 223146^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (121022274319) 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 39 ways as a sum of consecutive naturals, for example, 72511014 + ... + 72512682.

Almost surely, 2121022274312 is an apocalyptic number.

121022274312 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 121022274312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170605680300).

121022274312 is an abundant number, since it is smaller than the sum of its proper divisors (220189086288).

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

121022274312 is a wasteful number, since it uses less digits than its factorization.

121022274312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 121022274312 its reverse (213472220121), we get a palindrome (334494494433).

The spelling of 121022274312 in words is "one hundred twenty-one billion, twenty-two million, two hundred seventy-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 317 324 353 634 648 706 951 1059 1268 1412 1669 1902 2118 2536 2824 2853 3177 3338 3804 4236 5007 5706 6354 6676 7608 8472 8559 9531 10014 11412 12708 13352 15021 17118 19062 20028 22824 25416 25677 28593 30042 34236 38124 40056 45063 51354 57186 60084 68472 76248 90126 102708 111901 114372 120168 135189 180252 205416 223802 228744 270378 335703 360504 447604 529073 540756 589157 671406 895208 1007109 1058146 1081512 1178314 1342812 1587219 1767471 2014218 2116292 2356628 2685624 3021327 3174438 3534942 4028436 4232584 4713256 4761657 5302413 6042654 6348876 7069884 8056872 9063981 9523314 10604826 12085308 12697752 14139768 14284971 15907239 18127962 19046628 21209652 24170616 28569942 31814478 36255924 38093256 42419304 42854913 47721717 57139884 63628956 72511848 85709826 95443434 114279768 127257912 171419652 186762769 190886868 342839304 373525538 381773736 560288307 747051076 1120576614 1494102152 1680864921 2241153228 3361729842 4482306456 5042594763 6723459684 10085189526 13446919368 15127784289 20170379052 30255568578 40340758104 60511137156 121022274312