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12089002500 = 2232547332
BaseRepresentation
bin10110100001000111…
…11000101000000100
31011012111120221211100
423100203320220010
5144224241040000
65315325140100
7605401553151
oct132043705004
934174527740
1012089002500
115143a21563
1224146ba630
1311a8727723
14829789228
154ab4a1a00
hex2d08f8a04

12089002500 has 135 divisors (see below), whose sum is σ = 38237832633. Its totient is φ = 3219336000.

The previous prime is 12089002487. The next prime is 12089002517. The reversal of 12089002500 is 520098021.

The square root of 12089002500 is 109950.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 2116184004 + 9972818496 = 46002^2 + 99864^2 .

It is a super-2 number, since 2×120890025002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 16492134 + ... + 16492866.

Almost surely, 212089002500 is an apocalyptic number.

12089002500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12089002500 is the 109950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12089002500

12089002500 is an abundant number, since it is smaller than the sum of its proper divisors (26148830133).

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

12089002500 is an frugal number, since it uses more digits than its factorization.

12089002500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 12089002500 in words is "twelve billion, eighty-nine million, two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 733 750 900 1125 1250 1466 1500 1875 2199 2250 2500 2932 3665 3750 4398 4500 5625 6597 7330 7500 8796 10995 11250 13194 14660 18325 21990 22500 26388 32985 36650 43980 54975 65970 73300 91625 109950 131940 164925 183250 219900 274875 329850 366500 458125 537289 549750 659700 824625 916250 1074578 1099500 1374375 1611867 1649250 1832500 2149156 2686445 2748750 3223734 3298500 4123125 4835601 5372890 5497500 6447468 8059335 8246250 9671202 10745780 13432225 16118670 16492500 19342404 24178005 26864450 32237340 40296675 48356010 53728900 67161125 80593350 96712020 120890025 134322250 161186700 201483375 241780050 268644500 335805625 402966750 483560100 604450125 671611250 805933500 1007416875 1208900250 1343222500 2014833750 2417800500 3022250625 4029667500 6044501250 12089002500