Search a number
-
+
12421223121 = 337247229281
BaseRepresentation
bin10111001000101110…
…01101001011010001
31012001122201111211210
423210113031023101
5200414313114441
65412313530333
7616544440326
oct134427151321
935048644753
1012421223121
1152a450285a
1224a7a139a9
13122c4c7188
1485b948b4d
154ca727616
hex2e45cd2d1

12421223121 has 48 divisors (see below), whose sum is σ = 17521539840. Its totient is φ = 7823208960.

The previous prime is 12421223119. The next prime is 12421223233. The reversal of 12421223121 is 12132212421.

It is a happy number.

12421223121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12421223121 - 21 = 12421223119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12421221121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44203501 + ... + 44203781.

It is an arithmetic number, because the mean of its divisors is an integer number (365032080).

Almost surely, 212421223121 is an apocalyptic number.

It is an amenable number.

12421223121 is a deficient number, since it is larger than the sum of its proper divisors (5100316719).

12421223121 is a wasteful number, since it uses less digits than its factorization.

12421223121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 597 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

Adding to 12421223121 its reverse (12132212421), we get a palindrome (24553435542).

The spelling of 12421223121 in words is "twelve billion, four hundred twenty-one million, two hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 37 47 111 141 229 281 687 843 1369 1739 4107 5217 8473 10397 10763 13207 25419 31191 32289 39621 64343 64349 193029 193047 313501 384689 398231 488659 940503 1154067 1194693 1465977 2380913 3024403 7142739 9073209 14734547 18080383 44203641 54241149 88093781 111902911 264281343 335708733 4140407707 12421223121