Search a number
-
+
12222120010112 = 27173694979427
BaseRepresentation
bin1011000111011010111100…
…0111110010000110000000
31121021102102120001201200122
42301312233013302012000
53100221400210310422
641554433040435412
72401006345650635
oct261665707620600
947242376051618
1012222120010112
11399241012aaa1
12145488b318b68
136a870568c42c
143037a776018c
15162dd32cbd42
hexb1daf1f2180

12222120010112 has 64 divisors (see below), whose sum is σ = 24493331502000. Its totient is φ = 6074785142784.

The previous prime is 12222120010097. The next prime is 12222120010183. The reversal of 12222120010112 is 21101002122221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153838943 + ... + 153918369.

Almost surely, 212222120010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12222120010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12246665751000).

12222120010112 is an abundant number, since it is smaller than the sum of its proper divisors (12271211491888).

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

12222120010112 is an equidigital number, since it uses as much as digits as its factorization.

12222120010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86563 (or 86551 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12222120010112 its reverse (21101002122221), we get a palindrome (33323122132333).

The spelling of 12222120010112 in words is "twelve trillion, two hundred twenty-two billion, one hundred twenty million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 173 346 692 1384 2768 5536 6949 11072 13898 22144 27796 55592 79427 111184 158854 222368 317708 444736 635416 889472 1202177 1270832 2404354 2541664 4808708 5083328 9617416 10166656 13740871 19234832 27481742 38469664 54963484 76939328 109926968 153878656 219853936 439707872 551938223 879415744 1103876446 1758831488 2207752892 4415505784 8831011568 17662023136 35324046272 70648092544 95485312579 190970625158 381941250316 763882500632 1527765001264 3055530002528 6111060005056 12222120010112