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12203020332 = 2234198922273
BaseRepresentation
bin10110101110101101…
…10101000000101100
31011111110010122220000
423113112311000230
5144442433122312
65334521024300
7611254650516
oct132726650054
934443118800
1012203020332
1151a2317878
122446925090
1311c62387b9
1483a988bb6
154b64c4adc
hex2d75b502c

12203020332 has 120 divisors (see below), whose sum is σ = 33958940400. Its totient is φ = 3810115584.

The previous prime is 12203020273. The next prime is 12203020339. The reversal of 12203020332 is 23302030221.

It is a happy number.

12203020332 is a `hidden beast` number, since 12 + 20 + 302 + 0 + 332 = 666.

12203020332 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 (18).

It is not an unprimeable number, because it can be changed into a prime (12203020339) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 536748 + ... + 559020.

It is an arithmetic number, because the mean of its divisors is an integer number (282991170).

Almost surely, 212203020332 is an apocalyptic number.

12203020332 is a gapful number since it is divisible by the number (12) 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 12203020332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16979470200).

12203020332 is an abundant number, since it is smaller than the sum of its proper divisors (21755920068).

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

12203020332 is a wasteful number, since it uses less digits than its factorization.

12203020332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22397 (or 22386 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12203020332 its reverse (23302030221), we get a palindrome (35505050553).

The spelling of 12203020332 in words is "twelve billion, two hundred three million, twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 89 108 114 162 171 178 228 267 324 342 356 513 534 684 801 1026 1068 1539 1602 1691 2052 2403 3078 3204 3382 4806 5073 6156 6764 7209 9612 10146 14418 15219 20292 22273 28836 30438 44546 45657 60876 66819 89092 91314 133638 136971 182628 200457 267276 273942 400914 423187 547884 601371 801828 846374 1202742 1269561 1692748 1804113 1982297 2405484 2539122 3608226 3808683 3964594 5078244 5946891 7216452 7617366 7929188 11426049 11893782 15234732 17840673 22852098 23787564 34278147 35681346 37663643 45704196 53522019 68556294 71362692 75327286 107044038 112990929 137112588 150654572 160566057 214088076 225981858 321132114 338972787 451963716 642264228 677945574 1016918361 1355891148 2033836722 3050755083 4067673444 6101510166 12203020332