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12231012200 = 23521137914669
BaseRepresentation
bin10110110010000011…
…00110111101101000
31011120101210210111212
423121001212331220
5200022114342300
65341401012252
7612044613461
oct133101467550
934511723455
1012231012200
1152070a6550
122454184088
1311cbc89734
14840593d68
154b8ba3935
hex2d9066f68

12231012200 has 96 divisors (see below), whose sum is σ = 31106268000. Its totient is φ = 4435603200.

The previous prime is 12231012187. The next prime is 12231012203. The reversal of 12231012200 is 221013221.

It is a happy number.

12231012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12231012203) 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 23 ways as a sum of consecutive naturals, for example, 826466 + ... + 841134.

It is an arithmetic number, because the mean of its divisors is an integer number (324023625).

Almost surely, 212231012200 is an apocalyptic number.

12231012200 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 12231012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15553134000).

12231012200 is an abundant number, since it is smaller than the sum of its proper divisors (18875255800).

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

12231012200 is a wasteful number, since it uses less digits than its factorization.

12231012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15075 (or 15066 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12231012200 its reverse (221013221), we get a palindrome (12452025421).

The spelling of 12231012200 in words is "twelve billion, two hundred thirty-one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 379 440 550 758 1100 1516 1895 2200 3032 3790 4169 7580 8338 9475 14669 15160 16676 18950 20845 29338 33352 37900 41690 58676 73345 75800 83380 104225 117352 146690 161359 166760 208450 293380 322718 366725 416900 586760 645436 733450 806795 833800 1290872 1466900 1613590 2933800 3227180 4033975 5559551 6454360 8067950 11119102 16135900 22238204 27797755 32271800 44476408 55595510 61155061 111191020 122310122 138988775 222382040 244620244 277977550 305775305 489240488 555955100 611550610 1111910200 1223101220 1528876525 2446202440 3057753050 6115506100 12231012200