Search a number
-
+
12121222410 = 23251123532333
BaseRepresentation
bin10110100100111101…
…10010110100001010
31011021202012220020100
423102132302310022
5144311013104120
65322435510230
7606242455563
oct132236626412
934252186210
1012121222410
115160128890
122423458376
1311b22c8c6b
1482db7516a
154ae218490
hex2d27b2d0a

12121222410 has 96 divisors (see below), whose sum is σ = 35875052928. Its totient is φ = 2810712960.

The previous prime is 12121222369. The next prime is 12121222417. The reversal of 12121222410 is 1422212121.

12121222410 is a `hidden beast` number, since 1 + 21 + 212 + 22 + 410 = 666.

12121222410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12121222417) 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, 243397 + ... + 288936.

It is an arithmetic number, because the mean of its divisors is an integer number (373698468).

Almost surely, 212121222410 is an apocalyptic number.

12121222410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12121222410 is an abundant number, since it is smaller than the sum of its proper divisors (23753830518).

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

12121222410 is a wasteful number, since it uses less digits than its factorization.

12121222410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532380 (or 532377 counting only the distinct ones).

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

Adding to 12121222410 its reverse (1422212121), we get a palindrome (13543434531).

The spelling of 12121222410 in words is "twelve billion, one hundred twenty-one million, two hundred twenty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 253 330 345 414 495 506 690 759 990 1035 1265 1518 2070 2277 2530 3795 4554 7590 11385 22770 532333 1064666 1596999 2661665 3193998 4790997 5323330 5855663 7984995 9581994 11711326 12243659 15969990 17566989 23954985 24487318 29278315 35133978 36730977 47909970 52700967 58556630 61218295 73461954 87834945 105401934 110192931 122436590 134680249 175669890 183654885 220385862 263504835 269360498 367309770 404040747 527009670 550964655 673401245 808081494 1101929310 1212122241 1346802490 2020203735 2424244482 4040407470 6060611205 12121222410