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12010100000 = 2555831447
BaseRepresentation
bin10110010111101101…
…11001010100100000
31011000000010021221112
423023312321110200
5144044041200000
65303430042452
7603423110543
oct131366712440
934000107845
1012010100000
11510342a988
1223b21a9428
13119528ca62
1481d0ca85a
154a45b8235
hex2cbdb9520

12010100000 has 144 divisors (see below), whose sum is σ = 29930959296. Its totient is φ = 4742880000.

The previous prime is 12010099951. The next prime is 12010100017. The reversal of 12010100000 is 101021.

Adding to 12010100000 its reverse (101021), we get a palindrome (12010201021).

It is a happy number.

12010100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8299277 + ... + 8300723.

It is an arithmetic number, because the mean of its divisors is an integer number (207853884).

Almost surely, 212010100000 is an apocalyptic number.

12010100000 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 12010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14965479648).

12010100000 is an abundant number, since it is smaller than the sum of its proper divisors (17920859296).

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

12010100000 is an frugal number, since it uses more digits than its factorization.

12010100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The spelling of 12010100000 in words is "twelve billion, ten million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 83 100 125 160 166 200 250 332 400 415 500 625 664 800 830 1000 1250 1328 1447 1660 2000 2075 2500 2656 2894 3125 3320 4000 4150 5000 5788 6250 6640 7235 8300 10000 10375 11576 12500 13280 14470 16600 20000 20750 23152 25000 28940 33200 36175 41500 46304 50000 51875 57880 66400 72350 83000 100000 103750 115760 120101 144700 166000 180875 207500 231520 240202 259375 289400 332000 361750 415000 480404 518750 578800 600505 723500 830000 904375 960808 1037500 1157600 1201010 1447000 1660000 1808750 1921616 2075000 2402020 2894000 3002525 3617500 3843232 4150000 4521875 4804040 5788000 6005050 7235000 8300000 9043750 9608080 12010100 14470000 15012625 18087500 19216160 24020200 28940000 30025250 36175000 48040400 60050500 72350000 75063125 96080800 120101000 144700000 150126250 240202000 300252500 375315625 480404000 600505000 750631250 1201010000 1501262500 2402020000 3002525000 6005050000 12010100000