Search a number
-
+
121211012112 = 243171131314539
BaseRepresentation
bin111000011100010111…
…1010100010000010000
3102120212101220101210220
41300320233110100100
53441220004341422
6131403352353040
711520502413651
oct1607057242020
9376771811726
10121211012112
1147450502483
121b5a93a5780
13b579065c98
145c1c101528
153246468e5c
hex1c38bd4410

121211012112 has 80 divisors (see below), whose sum is σ = 334482073920. Its totient is φ = 37690433536.

The previous prime is 121211012053. The next prime is 121211012147. The reversal of 121211012112 is 211210112121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121211012091 and 121211012100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565062 + ... + 749477.

It is an arithmetic number, because the mean of its divisors is an integer number (4181025924).

Almost surely, 2121211012112 is an apocalyptic number.

121211012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121211012112 is an abundant number, since it is smaller than the sum of its proper divisors (213271061808).

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

121211012112 is a wasteful number, since it uses less digits than its factorization.

121211012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314680 (or 1314674 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121211012112 its reverse (211210112121), we get a palindrome (332421124233).

The spelling of 121211012112 in words is "one hundred twenty-one billion, two hundred eleven million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 113 136 204 226 272 339 408 452 678 816 904 1356 1808 1921 2712 3842 5424 5763 7684 11526 15368 23052 30736 46104 92208 1314539 2629078 3943617 5258156 7887234 10516312 15774468 21032624 22347163 31548936 44694326 63097872 67041489 89388652 134082978 148542907 178777304 268165956 297085814 357554608 445628721 536331912 594171628 891257442 1072663824 1188343256 1782514884 2376686512 2525229419 3565029768 5050458838 7130059536 7575688257 10100917676 15151376514 20201835352 30302753028 40403670704 60605506056 121211012112