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12000010120 = 2357198872543
BaseRepresentation
bin10110010110100000…
…11001111110001000
31010222022010200020021
423023100121332020
5144034000310440
65302425510224
7603241255150
oct131320317610
933868120207
1012000010120
1150a876923a
1223aa942374
131193169307
1481ba21760
154a377384a
hex2cb419f88

12000010120 has 128 divisors (see below), whose sum is σ = 32530636800. Its totient is φ = 3891822336.

The previous prime is 12000010111. The next prime is 12000010123. The reversal of 12000010120 is 2101000021.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (12000010123) 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, 4717569 + ... + 4720111.

It is an arithmetic number, because the mean of its divisors is an integer number (254145600).

Almost surely, 212000010120 is an apocalyptic number.

12000010120 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 12000010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16265318400).

12000010120 is an abundant number, since it is smaller than the sum of its proper divisors (20530626680).

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

12000010120 is a wasteful number, since it uses less digits than its factorization.

12000010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12000010120 its reverse (2101000021), we get a palindrome (14101010141).

The spelling of 12000010120 in words is "twelve billion, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 887 1064 1330 1774 2543 2660 3548 4435 5086 5320 6209 7096 8870 10172 12418 12715 16853 17740 17801 20344 24836 25430 31045 33706 35480 35602 48317 49672 50860 62090 67412 71204 84265 89005 96634 101720 117971 124180 134824 142408 168530 178010 193268 235942 241585 248360 337060 338219 356020 386536 471884 483170 589855 674120 676438 712040 943768 966340 1179710 1352876 1691095 1932680 2255641 2359420 2705752 3382190 4511282 4718840 6764380 9022564 11278205 13528760 15789487 18045128 22556410 31578974 42857179 45112820 63157948 78947435 85714358 90225640 126315896 157894870 171428716 214285895 300000253 315789740 342857432 428571790 600000506 631579480 857143580 1200001012 1500001265 1714287160 2400002024 3000002530 6000005060 12000010120