Search a number
-
+
12222201221220 = 22351674212897341
BaseRepresentation
bin1011000111011011001111…
…1101100101000001100100
31121021102122012212200101110
42301312303331211001210
53100222032003034340
641554445101225020
72401011353150004
oct261666375450144
947242565780343
1012222201221220
113992451a59111
1214548b2562170
136a8719454b43
143037b4460004
15162dda4be680
hexb1db3f65064

12222201221220 has 96 divisors (see below), whose sum is σ = 34508873016576. Its totient is φ = 3232040716800.

The previous prime is 12222201221207. The next prime is 12222201221227. The reversal of 12222201221220 is 2212210222221.

It is not an unprimeable number, because it can be changed into a prime (12222201221227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2769750 + ... + 5667090.

It is an arithmetic number, because the mean of its divisors is an integer number (359467427256).

Almost surely, 212222201221220 is an apocalyptic number.

12222201221220 is a gapful number since it is divisible by the number (10) 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 12222201221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17254436508288).

12222201221220 is an abundant number, since it is smaller than the sum of its proper divisors (22286671795356).

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

12222201221220 is a wasteful number, since it uses less digits than its factorization.

12222201221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897941 (or 2897939 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 12222201221220 its reverse (2212210222221), we get a palindrome (14434411443441).

The spelling of 12222201221220 in words is "twelve trillion, two hundred twenty-two billion, two hundred one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 421 501 668 835 842 1002 1263 1670 1684 2004 2105 2505 2526 3340 4210 5010 5052 6315 8420 10020 12630 25260 70307 140614 210921 281228 351535 421842 703070 843684 1054605 1406140 2109210 2897341 4218420 5794682 8692023 11589364 14486705 17384046 28973410 34768092 43460115 57946820 86920230 173840460 483855947 967711894 1219780561 1451567841 1935423788 2419279735 2439561122 2903135682 3659341683 4838559470 4879122244 5806271364 6098902805 7257839205 7318683366 9677118940 12197805610 14515678410 14637366732 18296708415 24395611220 29031356820 36593416830 73186833660 203703353687 407406707374 611110061061 814813414748 1018516768435 1222220122122 2037033536870 2444440244244 3055550305305 4074067073740 6111100610610 12222201221220