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12200313112 = 2313593316007
BaseRepresentation
bin10110101110011001…
…00000000100011000
31011111021001010021121
423113030200010120
5144441240004422
65334343015024
7611222643661
oct132714400430
934437033247
1012200313112
1151a08388a9
122445a3a474
1311c57cb4b0
1483a482368
154b613c8c7
hex2d7320118

12200313112 has 64 divisors (see below), whose sum is σ = 25132665600. Its totient is φ = 5517832320.

The previous prime is 12200313107. The next prime is 12200313119. The reversal of 12200313112 is 21131300221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200313119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2028013 + ... + 2034019.

It is an arithmetic number, because the mean of its divisors is an integer number (392697900).

Almost surely, 212200313112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200313112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12566332800).

12200313112 is an abundant number, since it is smaller than the sum of its proper divisors (12932352488).

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

12200313112 is a wasteful number, since it uses less digits than its factorization.

12200313112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6416 (or 6412 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12200313112 its reverse (21131300221), we get a palindrome (33331613333).

The spelling of 12200313112 in words is "twelve billion, two hundred million, three hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 59 104 118 236 331 472 662 767 1324 1534 2648 3068 4303 6007 6136 8606 12014 17212 19529 24028 34424 39058 48056 78091 78116 156182 156232 253877 312364 354413 507754 624728 708826 1015508 1417652 1988317 2031016 2835304 3976634 4607369 7953268 9214738 15906536 18429476 25848121 36858952 51696242 103392484 117310703 206784968 234621406 469242812 938485624 1525039139 3050078278 6100156556 12200313112