Search a number
-
+
12140155200 = 263522529199
BaseRepresentation
bin10110100111001110…
…00001000101000000
31011100001211210010210
423103213001011000
5144330334431300
65324353354120
7606562421325
oct132347010500
934301753123
1012140155200
11516a88a318
122429868940
1311b61c76b4
148324a2b4c
154b0c08050
hex2d39c1140

12140155200 has 84 divisors (see below), whose sum is σ = 39829841600. Its totient is φ = 3237373440.

The previous prime is 12140155199. The next prime is 12140155201. The reversal of 12140155200 is 255104121.

It is an interprime number because it is at equal distance from previous prime (12140155199) and next prime (12140155201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12140155201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1259800 + ... + 1269399.

Almost surely, 212140155200 is an apocalyptic number.

12140155200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12140155200 is an abundant number, since it is smaller than the sum of its proper divisors (27689686400).

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

12140155200 is a wasteful number, since it uses less digits than its factorization.

12140155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529224 (or 2529209 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 12140155200 its reverse (255104121), we get a palindrome (12395259321).

The spelling of 12140155200 in words is "twelve billion, one hundred forty million, one hundred fifty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 2529199 5058398 7587597 10116796 12645995 15175194 20233592 25291990 30350388 37937985 40467184 50583980 60700776 63229975 75875970 80934368 101167960 121401552 126459950 151751940 161868736 189689925 202335920 242803104 252919900 303503880 379379850 404671840 485606208 505839800 607007760 758759700 809343680 1011679600 1214015520 1517519400 2023359200 2428031040 3035038800 4046718400 6070077600 12140155200