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121220268 = 2231317431063
BaseRepresentation
bin1110011100110…
…10110010101100
322110002121221120
413032122302230
5222013022033
620010100540
73001232601
oct716326254
9273077846
10121220268
1162475644
123471a750
131c163490
14121566a8
15a9971b3
hex739acac

121220268 has 96 divisors (see below), whose sum is σ = 330333696. Its totient is φ = 34255872.

The previous prime is 121220243. The next prime is 121220269. The reversal of 121220268 is 862022121.

It is not an unprimeable number, because it can be changed into a prime (121220269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113505 + ... + 114567.

It is an arithmetic number, because the mean of its divisors is an integer number (3440976).

Almost surely, 2121220268 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 121220268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165166848).

121220268 is an abundant number, since it is smaller than the sum of its proper divisors (209113428).

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

121220268 is a wasteful number, since it uses less digits than its factorization.

121220268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 121220268 is about 11010.0076294251. The cubic root of 121220268 is about 494.9086904325.

Adding to 121220268 its reverse (862022121), we get a palindrome (983242389).

The spelling of 121220268 in words is "one hundred twenty-one million, two hundred twenty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 43 51 52 68 78 86 102 129 156 172 204 221 258 442 516 559 663 731 884 1063 1118 1326 1462 1677 2126 2193 2236 2652 2924 3189 3354 4252 4386 6378 6708 8772 9503 12756 13819 18071 19006 27638 28509 36142 38012 41457 45709 54213 55276 57018 72284 82914 91418 108426 114036 137127 165828 182836 216852 234923 274254 469846 548508 594217 704769 777053 939692 1188434 1409538 1554106 1782651 2331159 2376868 2819076 3108212 3565302 4662318 7130604 9324636 10101689 20203378 30305067 40406756 60610134 121220268