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12080598180 = 22357240110247
BaseRepresentation
bin10110100000000111…
…10100110010100100
31011011220202222021020
423100003310302210
5144220113120210
65314425051140
7605240250600
oct132003646244
934156688236
1012080598180
11513a201242
122411926ab0
1311a6a74261
148285dc500
154aa891770
hex2d00f4ca4

12080598180 has 144 divisors (see below), whose sum is σ = 39450208896. Its totient is φ = 2754124800.

The previous prime is 12080598169. The next prime is 12080598181. The reversal of 12080598180 is 8189508021.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12080598181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1173817 + ... + 1184063.

It is an arithmetic number, because the mean of its divisors is an integer number (273959784).

Almost surely, 212080598180 is an apocalyptic number.

12080598180 is a gapful number since it is divisible by the number (10) 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 12080598180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19725104448).

12080598180 is an abundant number, since it is smaller than the sum of its proper divisors (27369610716).

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

12080598180 is a wasteful number, since it uses less digits than its factorization.

12080598180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10674 (or 10665 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 42.

The spelling of 12080598180 in words is "twelve billion, eighty million, five hundred ninety-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 401 420 490 588 735 802 980 1203 1470 1604 2005 2406 2807 2940 4010 4812 5614 6015 8020 8421 10247 11228 12030 14035 16842 19649 20494 24060 28070 30741 33684 39298 40988 42105 51235 56140 58947 61482 71729 78596 84210 98245 102470 117894 122964 143458 153705 168420 196490 204940 215187 235788 286916 294735 307410 358645 392980 430374 502103 589470 614820 717290 860748 1004206 1075935 1178940 1434580 1506309 2008412 2151870 2510515 3012618 4109047 4303740 5021030 6025236 7531545 8218094 10042060 12327141 15063090 16436188 20545235 24654282 28763329 30126180 41090470 49308564 57526658 61635705 82180940 86289987 115053316 123271410 143816645 172579974 201343303 246542820 287633290 345159948 402686606 431449935 575266580 604029909 805373212 862899870 1006716515 1208059818 1725799740 2013433030 2416119636 3020149545 4026866060 6040299090 12080598180