Search a number
-
+
12344123220 = 223511131438709
BaseRepresentation
bin10110111111100010…
…00101111101010100
31011212021122102122220
423133301011331110
5200240043420340
65400521222340
7614620213302
oct133761057524
934767572586
1012344123220
115264a32530
1224860319b0
131219540b30
148515d9272
154c3a97ed0
hex2dfc45f54

12344123220 has 96 divisors (see below), whose sum is σ = 40606151040. Its totient is φ = 2762319360.

The previous prime is 12344123201. The next prime is 12344123221. The reversal of 12344123220 is 2232144321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12344123221) 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, 710775 + ... + 727934.

It is an arithmetic number, because the mean of its divisors is an integer number (422980740).

Almost surely, 212344123220 is an apocalyptic number.

12344123220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12344123220 is an abundant number, since it is smaller than the sum of its proper divisors (28262027820).

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

12344123220 is a wasteful number, since it uses less digits than its factorization.

12344123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438745 (or 1438743 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12344123220 its reverse (2232144321), we get a palindrome (14576267541).

The spelling of 12344123220 in words is "twelve billion, three hundred forty-four million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 1438709 2877418 4316127 5754836 7193545 8632254 14387090 15825799 17264508 18703217 21580635 28774180 31651598 37406434 43161270 47477397 56109651 63303196 74812868 79128995 86322540 93516085 94954794 112219302 158257990 187032170 189909588 205735387 224438604 237386985 280548255 316515980 374064340 411470774 474773970 561096510 617206161 822941548 949547940 1028676935 1122193020 1234412322 2057353870 2468824644 3086030805 4114707740 6172061610 12344123220