Search a number
-
+
1212210220122 = 2321122971270311
BaseRepresentation
bin10001101000111101010…
…111000000110001011010
311021212221000101120010100
4101220331113000301122
5124330101304020442
62324514240000230
7153402461601306
oct21507527006132
94255830346110
101212210220122
11428106081200
12176b26900076
138a407174625
1442958028d06
15217ebb3384c
hex11a3d5c0c5a

1212210220122 has 144 divisors (see below), whose sum is σ = 3028554023040. Its totient is φ = 349673016000.

The previous prime is 1212210220099. The next prime is 1212210220147. The reversal of 1212210220122 is 2210220122121.

It is a happy number.

1212210220122 is a `hidden beast` number, since 1 + 212 + 210 + 220 + 1 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1212210220095 and 1212210220104.

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 71 ways as a sum of consecutive naturals, for example, 4349347 + ... + 4619657.

It is an arithmetic number, because the mean of its divisors is an integer number (21031625160).

Almost surely, 21212210220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212210220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514277011520).

1212210220122 is an abundant number, since it is smaller than the sum of its proper divisors (1816343802918).

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

1212210220122 is a wasteful number, since it uses less digits than its factorization.

1212210220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270441 (or 270427 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1212210220122 its reverse (2210220122121), we get a palindrome (3422430342243).

It can be divided in two parts, 121 and 2210220122, that multiplied together give a palindrome (267436634762).

The spelling of 1212210220122 in words is "one trillion, two hundred twelve billion, two hundred ten million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 71 87 99 121 142 174 198 213 242 261 319 363 426 522 638 639 726 781 957 1089 1278 1562 1914 2059 2178 2343 2871 3509 4118 4686 5742 6177 7018 7029 8591 10527 12354 14058 17182 18531 21054 22649 25773 31581 37062 45298 51546 63162 67947 77319 135894 154638 203841 249139 270311 407682 498278 540622 747417 810933 1494834 1621866 2242251 2432799 2973421 4484502 4865598 5946842 7839019 8920263 15678038 17840526 19192081 23517057 26760789 32707631 38384162 47034114 53521578 57576243 65415262 70551171 86229209 98122893 115152486 141102342 172458418 172728729 196245786 211112891 258687627 294368679 345457458 422225782 517375254 556570349 588737358 633338673 776062881 948521299 1113140698 1266677346 1552125762 1669711047 1897042598 1900016019 2322241801 2845563897 3339422094 3800032038 4644483602 5009133141 5691127794 6122273839 6966725403 8536691691 10018266282 12244547678 13933450806 17073383382 18366821517 20900176209 36733643034 41800352418 55100464551 67345012229 110200929102 134690024458 202035036687 404070073374 606105110061 1212210220122