Search a number
-
+
121224025104 = 24372133964679
BaseRepresentation
bin111000011100110000…
…0111101010000010000
3102120220022101112021120
41300321200331100100
53441231322300404
6131404535322240
711521021132500
oct1607140752020
9376808345246
10121224025104
1147457890316
121b5b1820380
13b57b971090
145c1db2ba00
1532476899d9
hex1c3983d410

121224025104 has 120 divisors (see below), whose sum is σ = 392313015360. Its totient is φ = 31971163392.

The previous prime is 121224025103. The next prime is 121224025123. The reversal of 121224025104 is 401520422121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (121224025103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1951764 + ... + 2012915.

It is an arithmetic number, because the mean of its divisors is an integer number (3269275128).

Almost surely, 2121224025104 is an apocalyptic number.

121224025104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

121224025104 is an abundant number, since it is smaller than the sum of its proper divisors (271088990256).

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

121224025104 is a wasteful number, since it uses less digits than its factorization.

121224025104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964717 (or 3964704 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 121224025104 its reverse (401520422121), we get a palindrome (522744447225).

The spelling of 121224025104 in words is "one hundred twenty-one billion, two hundred twenty-four million, twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3822 4368 5096 7644 10192 15288 30576 3964679 7929358 11894037 15858716 23788074 27752753 31717432 47576148 51540827 55505506 63434864 83258259 95152296 103081654 111011012 154622481 166516518 190304592 194269271 206163308 222022024 309244962 333033036 360785789 388538542 412326616 444044048 582807813 618489924 666066072 721571578 777077084 824653232 1082357367 1165615626 1236979848 1332132144 1443143156 1554154168 2164714734 2331231252 2473959696 2525500523 2886286312 3108308336 4329429468 4662462504 5051001046 5772572624 7576501569 8658858936 9324925008 10102002092 15153003138 17317717872 20204004184 30306006276 40408008368 60612012552 121224025104