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12432201150 = 23521719325261
BaseRepresentation
bin10111001010000010…
…00101010110111110
31012002102101020212110
423211001011112332
5200430120414100
65413345114450
7620036652255
oct134501052676
935072336773
1012432201150
1152aa720806
1224ab628a26
13123186bc55
1485d1a579c
154cb695250
hex2e50455be

12432201150 has 96 divisors (see below), whose sum is σ = 32815944288. Its totient is φ = 3103948800.

The previous prime is 12432201137. The next prime is 12432201161. The reversal of 12432201150 is 5110223421.

12432201150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124322011502 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 479520 + ... + 504780.

It is an arithmetic number, because the mean of its divisors is an integer number (341832753).

Almost surely, 212432201150 is an apocalyptic number.

12432201150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12432201150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16407972144).

12432201150 is an abundant number, since it is smaller than the sum of its proper divisors (20383743138).

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

12432201150 is a wasteful number, since it uses less digits than its factorization.

12432201150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25486 (or 25481 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 12432201150 its reverse (5110223421), we get a palindrome (17542424571).

The spelling of 12432201150 in words is "twelve billion, four hundred thirty-two million, two hundred one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 193 255 386 425 510 579 850 965 1158 1275 1930 2550 2895 3281 4825 5790 6562 9650 9843 14475 16405 19686 25261 28950 32810 49215 50522 75783 82025 98430 126305 151566 164050 246075 252610 378915 429437 492150 631525 757830 858874 1263050 1288311 1894575 2147185 2576622 3789150 4294370 4875373 6441555 9750746 10735925 12883110 14626119 21471850 24376865 29252238 32207775 48753730 64415550 73130595 82881341 121884325 146261190 165762682 243768650 248644023 365652975 414406705 497288046 731305950 828813410 1243220115 2072033525 2486440230 4144067050 6216100575 12432201150