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12005205030 = 23257131465837
BaseRepresentation
bin10110010111001000…
…01110010000100110
31010222122220121022100
423023210032100212
5144041313030110
65303133112530
7603333362520
oct131344162046
933878817270
1012005205030
115100697255
1223b0628746
131194267a20
1481c5b4a10
154a3e4cbc0
hex2cb90e426

12005205030 has 96 divisors (see below), whose sum is σ = 38416682304. Its totient is φ = 2532964608.

The previous prime is 12005205011. The next prime is 12005205031. The reversal of 12005205030 is 3050250021.

It is a happy number.

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 = 12005204994 and 12005205012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005205031) 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, 724729 + ... + 741108.

It is an arithmetic number, because the mean of its divisors is an integer number (400173774).

Almost surely, 212005205030 is an apocalyptic number.

12005205030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12005205030 is an abundant number, since it is smaller than the sum of its proper divisors (26411477274).

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

12005205030 is a wasteful number, since it uses less digits than its factorization.

12005205030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465870 (or 1465867 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

Adding to 12005205030 its reverse (3050250021), we get a palindrome (15055455051).

The spelling of 12005205030 in words is "twelve billion, five million, two hundred five thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 8190 1465837 2931674 4397511 7329185 8795022 10260859 13192533 14658370 19055881 20521718 21987555 26385066 30782577 38111762 43975110 51304295 57167643 61565154 65962665 92347731 95279405 102608590 114335286 131925330 133391167 153912885 171502929 184695462 190558810 266782334 285838215 307825770 343005858 400173501 461738655 571676430 666955835 800347002 857514645 923477310 1200520503 1333911670 1715029290 2000867505 2401041006 4001735010 6002602515 12005205030