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12231012300 = 22352133784761
BaseRepresentation
bin10110110010000011…
…00110111111001100
31011120101210210122120
423121001212333030
5200022114343200
65341401012540
7612044613663
oct133101467714
934511723576
1012231012300
1152070a6631
122454184150
1311cbc897b0
14840593dda
154b8ba39a0
hex2d9066fcc

12231012300 has 144 divisors (see below), whose sum is σ = 39141057312. Its totient is φ = 2929305600.

The previous prime is 12231012251. The next prime is 12231012307. The reversal of 12231012300 is 321013221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12231012300.

It is not an unprimeable number, because it can be changed into a prime (12231012307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101920 + ... + 186680.

It is an arithmetic number, because the mean of its divisors is an integer number (271812898).

Almost surely, 212231012300 is an apocalyptic number.

12231012300 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 12231012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19570528656).

12231012300 is an abundant number, since it is smaller than the sum of its proper divisors (26910045012).

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

12231012300 is a wasteful number, since it uses less digits than its factorization.

12231012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84828 (or 84821 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12231012300 its reverse (321013221), we get a palindrome (12552025521).

The spelling of 12231012300 in words is "twelve billion, two hundred thirty-one million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 37 39 50 52 60 65 74 75 78 100 111 130 148 150 156 185 195 222 260 300 325 370 390 444 481 555 650 740 780 925 962 975 1110 1300 1443 1850 1924 1950 2220 2405 2775 2886 3700 3900 4810 5550 5772 7215 9620 11100 12025 14430 24050 28860 36075 48100 72150 84761 144300 169522 254283 339044 423805 508566 847610 1017132 1101893 1271415 1695220 2119025 2203786 2542830 3136157 3305679 4238050 4407572 5085660 5509465 6272314 6357075 6611358 8476100 9408471 11018930 12544628 12714150 13222716 15680785 16528395 18816942 22037860 25428300 27547325 31361570 33056790 37633884 40770041 47042355 55094650 62723140 66113580 78403925 81540082 82641975 94084710 110189300 122310123 156807850 163080164 165283950 188169420 203850205 235211775 244620246 313615700 330567900 407700410 470423550 489240492 611550615 815400820 940847100 1019251025 1223101230 2038502050 2446202460 3057753075 4077004100 6115506150 12231012300