Search a number
-
+
12023113310120 = 2351144636122621
BaseRepresentation
bin1010111011110101100101…
…1001011101111110101000
31120120101202102211220122102
42232331121121131332220
53033441314001410440
641323201512312532
72350432645631213
oct256753131357650
946511672756572
1012023113310120
113915a790268a0
1214221b03a2748
13692a0c0a2953
142d7cc956477a
1515cb37163b15
hexaef5965dfa8

12023113310120 has 64 divisors (see below), whose sum is σ = 29517895376640. Its totient is φ = 4371060870400.

The previous prime is 12023113310119. The next prime is 12023113310161. The reversal of 12023113310120 is 2101331132021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12023113310092 and 12023113310101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1097591 + ... + 5025030.

It is an arithmetic number, because the mean of its divisors is an integer number (461217115260).

Almost surely, 212023113310120 is an apocalyptic number.

12023113310120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12023113310120 is an abundant number, since it is smaller than the sum of its proper divisors (17494782066520).

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

12023113310120 is a wasteful number, since it uses less digits than its factorization.

12023113310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6127106 (or 6127102 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12023113310120 its reverse (2101331132021), we get a palindrome (14124444442141).

The spelling of 12023113310120 in words is "twelve trillion, twenty-three billion, one hundred thirteen million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 4463 8926 17852 22315 35704 44630 49093 89260 98186 178520 196372 245465 392744 490930 981860 1963720 6122621 12245242 24490484 30613105 48980968 61226210 67348831 122452420 134697662 244904840 269395324 336744155 538790648 673488310 1346976620 2693953240 27325257523 54650515046 109301030092 136626287615 218602060184 273252575230 300577832753 546505150460 601155665506 1093010300920 1202311331012 1502889163765 2404622662024 3005778327530 6011556655060 12023113310120