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12317887200 = 2535217319739
BaseRepresentation
bin10110111100011010…
…00000101011100000
31011210110021111121110
423132031000223200
5200211334342300
65354143023320
7614151212403
oct133615005340
934713244543
1012317887200
115251142a73
12247929ab40
131213c86168
1484bd29d3a
154c1614550
hex2de340ae0

12317887200 has 288 divisors, whose sum is σ = 43827194880. Its totient is φ = 2991513600.

The previous prime is 12317887189. The next prime is 12317887243. The reversal of 12317887200 is 278871321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1259931 + ... + 1269669.

It is an arithmetic number, because the mean of its divisors is an integer number (152177760).

Almost surely, 212317887200 is an apocalyptic number.

12317887200 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 12317887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21913597440).

12317887200 is an abundant number, since it is smaller than the sum of its proper divisors (31509307680).

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

12317887200 is a wasteful number, since it uses less digits than its factorization.

12317887200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9810 (or 9797 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 12317887200 in words is "twelve billion, three hundred seventeen million, eight hundred eighty-seven thousand, two hundred".