Search a number
-
+
121323231232 = 211767126311
BaseRepresentation
bin111000011111101101…
…1011001100000000000
3102121011020001201111121
41300333123121200000
53441432221344412
6131422441522024
711523334310260
oct1607733314000
9377136051447
10121323231232
11474a888a355
121b61aaa3314
13b596397428
145c2cd937a0
153251234107
hex1c3f6d9800

121323231232 has 96 divisors (see below), whose sum is σ = 281382716160. Its totient is φ = 51219210240.

The previous prime is 121323231229. The next prime is 121323231317. The reversal of 121323231232 is 232132323121.

It is a junction number, because it is equal to n+sod(n) for n = 121323231197 and 121323231206.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 897357 + ... + 1023667.

It is an arithmetic number, because the mean of its divisors is an integer number (2931069960).

Almost surely, 2121323231232 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 121323231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140691358080).

121323231232 is an abundant number, since it is smaller than the sum of its proper divisors (160059484928).

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

121323231232 is an equidigital number, since it uses as much as digits as its factorization.

121323231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126407 (or 126387 counting only the distinct ones).

The product of its digits is 2592, while the sum is 25.

Adding to 121323231232 its reverse (232132323121), we get a palindrome (353455554353).

The spelling of 121323231232 in words is "one hundred twenty-one billion, three hundred twenty-three million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 224 256 268 448 469 512 536 896 938 1024 1072 1792 1876 2048 2144 3584 3752 4288 7168 7504 8576 14336 15008 17152 30016 34304 60032 68608 120064 126311 137216 240128 252622 480256 505244 884177 960512 1010488 1768354 2020976 3536708 4041952 7073416 8083904 8462837 14146832 16167808 16925674 28293664 32335616 33851348 56587328 59239859 64671232 67702696 113174656 118479718 129342464 135405392 226349312 236959436 258684928 270810784 452698624 473918872 541621568 905397248 947837744 1083243136 1810794496 1895675488 2166486272 3791350976 4332972544 7582701952 8665945088 15165403904 17331890176 30330807808 60661615616 121323231232