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12123131220 = 2233523839421
BaseRepresentation
bin10110100101001100…
…00100110101010100
31011021212210212122000
423102212010311110
5144312010144340
65322544435300
7606264625614
oct132246046524
934255725560
1012123131220
115161211a12
122424018b30
1311b2816a35
14830110a44
154ae493d30
hex2d2984d54

12123131220 has 96 divisors (see below), whose sum is σ = 37736240640. Its totient is φ = 3231135360.

The previous prime is 12123131213. The next prime is 12123131231. The reversal of 12123131220 is 2213132121.

12123131220 is a `hidden beast` number, since 121 + 231 + 312 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12123131193 and 12123131202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1282110 + ... + 1291530.

It is an arithmetic number, because the mean of its divisors is an integer number (393085840).

Almost surely, 212123131220 is an apocalyptic number.

12123131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123131220 is an abundant number, since it is smaller than the sum of its proper divisors (25613109420).

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

12123131220 is a wasteful number, since it uses less digits than its factorization.

12123131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11822 (or 11814 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12123131220 its reverse (2213132121), we get a palindrome (14336263341).

Subtracting from 12123131220 its reverse (2213132121), we obtain a palindrome (9909999099).

The spelling of 12123131220 in words is "twelve billion, one hundred twenty-three million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2383 4766 7149 9421 9532 11915 14298 18842 21447 23830 28263 28596 35745 37684 42894 47105 47660 56526 64341 71490 84789 85788 94210 107235 113052 128682 141315 142980 169578 188420 214470 254367 257364 282630 321705 339156 423945 428940 508734 565260 643410 847890 1017468 1271835 1286820 1695780 2543670 5087340 22450243 44900486 67350729 89800972 112251215 134701458 202052187 224502430 269402916 336753645 404104374 449004860 606156561 673507290 808208748 1010260935 1212313122 1347014580 2020521870 2424626244 3030782805 4041043740 6061565610 12123131220