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12080005224 = 23371093172081
BaseRepresentation
bin10110100000000011…
…00100000001101000
31011011212122211212220
423100001210001220
5144214440131344
65314404234040
7605232231060
oct132001440150
934155584786
1012080005224
1151399367a1
12241169b920
1311a68c73b1
148284c63a0
154aa7c5c19
hex2d0064068

12080005224 has 128 divisors (see below), whose sum is σ = 34957612800. Its totient is φ = 3407339520.

The previous prime is 12080005219. The next prime is 12080005241. The reversal of 12080005224 is 42250008021.

It is a super-4 number, since 4×120800052244 (a number of 41 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12080005194 and 12080005203.

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, 5803864 + ... + 5805944.

It is an arithmetic number, because the mean of its divisors is an integer number (273106350).

Almost surely, 212080005224 is an apocalyptic number.

12080005224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12080005224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17478806400).

12080005224 is an abundant number, since it is smaller than the sum of its proper divisors (22877607576).

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

12080005224 is a wasteful number, since it uses less digits than its factorization.

12080005224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2519 counting only the distinct ones).

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

The spelling of 12080005224 in words is "twelve billion, eighty million, five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 109 168 218 317 327 436 634 654 763 872 951 1268 1308 1526 1902 2081 2219 2289 2536 2616 3052 3804 4162 4438 4578 6104 6243 6657 7608 8324 8876 9156 12486 13314 14567 16648 17752 18312 24972 26628 29134 34553 43701 49944 53256 58268 69106 87402 103659 116536 138212 174804 207318 226829 241871 276424 349608 414636 453658 483742 659677 680487 725613 829272 907316 967484 1319354 1360974 1451226 1587803 1814632 1934968 1979031 2638708 2721948 2902452 3175606 3958062 4617739 4763409 5277416 5443896 5804904 6351212 7916124 9235478 9526818 12702424 13853217 15832248 18470956 19053636 27706434 36941912 38107272 55412868 71904793 110825736 143809586 215714379 287619172 431428758 503333551 575238344 862857516 1006667102 1510000653 1725715032 2013334204 3020001306 4026668408 6040002612 12080005224