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12032123003300 = 2252599686929243
BaseRepresentation
bin1010111100010111001001…
…1010101110000110100100
31120121021000100011202012102
42233011302122232012210
53034113241442101200
641331251521311232
72351202140023241
oct257056232560644
946537010152172
1012032123003300
113919881838714
121423aa5795518
13693816867c4a
142d8501d805c8
1515ceb31076d5
hexaf1726ae1a4

12032123003300 has 72 divisors (see below), whose sum is σ = 26157997656000. Its totient is φ = 4803950619520.

The previous prime is 12032123003281. The next prime is 12032123003309. The reversal of 12032123003300 is 330032123021.

12032123003300 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 (20).

It is not an unprimeable number, because it can be changed into a prime (12032123003309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411438479 + ... + 411467721.

It is an arithmetic number, because the mean of its divisors is an integer number (363305523000).

Almost surely, 212032123003300 is an apocalyptic number.

12032123003300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032123003300 is an abundant number, since it is smaller than the sum of its proper divisors (14125874652700).

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

12032123003300 is a wasteful number, since it uses less digits than its factorization.

12032123003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36725 (or 36718 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12032123003300 its reverse (330032123021), we get a palindrome (12362155126321).

The spelling of 12032123003300 in words is "twelve trillion, thirty-two billion, one hundred twenty-three million, three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 599 1198 2396 2995 5990 6869 11980 13738 14975 27476 29243 29950 34345 58486 59900 68690 116972 137380 146215 171725 292430 343450 584860 686900 731075 1462150 2924300 4114531 8229062 16458124 17516557 20572655 35033114 41145310 70066228 82290620 87582785 102863275 175165570 200870167 205726550 350331140 401740334 411453100 437913925 803480668 875827850 1004350835 1751655700 2008701670 4017403340 5021754175 10043508350 20087016700 120321230033 240642460066 481284920132 601606150165 1203212300330 2406424600660 3008030750825 6016061501650 12032123003300