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12017102120 = 2351723417549
BaseRepresentation
bin10110011000100011…
…00110110100101000
31011000111022001001022
423030101212310220
5144102334231440
65304240112012
7603536453102
oct131421466450
934014261038
1012017102120
115107382761
1223b4605608
131196871c1a
1481ddd0572
154a4eeccb5
hex2cc466d28

12017102120 has 64 divisors (see below), whose sum is σ = 28645002000. Its totient is φ = 4521553920.

The previous prime is 12017102093. The next prime is 12017102161. The reversal of 12017102120 is 2120171021.

It can be written as a sum of positive squares in 8 ways, for example, as 9770531716 + 2246570404 = 98846^2 + 47398^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1588106 + ... + 1595654.

Almost surely, 212017102120 is an apocalyptic number.

12017102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12017102120 is an abundant number, since it is smaller than the sum of its proper divisors (16627899880).

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

12017102120 is a wasteful number, since it uses less digits than its factorization.

12017102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9918 (or 9914 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 12017102120 its reverse (2120171021), we get a palindrome (14137273141).

The spelling of 12017102120 in words is "twelve billion, seventeen million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 2341 4682 7549 9364 11705 15098 18728 23410 30196 37745 39797 46820 60392 75490 79594 93640 128333 150980 159188 198985 256666 301960 318376 397970 513332 641665 795940 1026664 1283330 1591880 2566660 5133320 17672209 35344418 70688836 88361045 141377672 176722090 300427553 353444180 600855106 706888360 1201710212 1502137765 2403420424 3004275530 6008551060 12017102120