Search a number
-
+
12032200000 = 265560161
BaseRepresentation
bin10110011010010110…
…01100110101000000
31011001112201002110001
423031023030311000
5144120220400000
65305535445344
7604112004202
oct131513146500
934045632401
1012032200000
115114954a47
1223b9686854
131199a29c92
14822000772
154a64d146a
hex2cd2ccd40

12032200000 has 84 divisors (see below), whose sum is σ = 29844082044. Its totient is φ = 4812800000.

The previous prime is 12032199979. The next prime is 12032200049. The reversal of 12032200000 is 223021.

It can be written as a sum of positive squares in 6 ways, for example, as 6785805376 + 5246394624 = 82376^2 + 72432^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 12032200000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169920 + ... + 230080.

It is an arithmetic number, because the mean of its divisors is an integer number (355286691).

Almost surely, 212032200000 is an apocalyptic number.

12032200000 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 12032200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14922041022).

12032200000 is an abundant number, since it is smaller than the sum of its proper divisors (17811882044).

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

12032200000 is an frugal number, since it uses more digits than its factorization.

12032200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60198 (or 60168 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 12032200000 its reverse (223021), we get a palindrome (12032423021).

The spelling of 12032200000 in words is "twelve billion, thirty-two million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 20000 25000 40000 50000 60161 100000 120322 200000 240644 300805 481288 601610 962576 1203220 1504025 1925152 2406440 3008050 3850304 4812880 6016100 7520125 9625760 12032200 15040250 19251520 24064400 30080500 37600625 48128800 60161000 75201250 96257600 120322000 150402500 188003125 240644000 300805000 376006250 481288000 601610000 752012500 1203220000 1504025000 2406440000 3008050000 6016100000 12032200000