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12303120200 = 2352761914197
BaseRepresentation
bin10110111010101001…
…01011011101001000
31011202102111021002112
423131110223131020
5200144044321300
65352454321452
7613611540050
oct133524533510
934672437075
1012303120200
115243877338
122474359288
131210bb58a7
14849da4560
154c0198e35
hex2dd52b748

12303120200 has 96 divisors (see below), whose sum is σ = 32746267200. Its totient is φ = 4211101440.

The previous prime is 12303120197. The next prime is 12303120229. The reversal of 12303120200 is 202130321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 859502 + ... + 873698.

It is an arithmetic number, because the mean of its divisors is an integer number (341106950).

Almost surely, 212303120200 is an apocalyptic number.

12303120200 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 12303120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16373133600).

12303120200 is an abundant number, since it is smaller than the sum of its proper divisors (20443147000).

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

12303120200 is a wasteful number, since it uses less digits than its factorization.

12303120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14839 (or 14830 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12303120200 its reverse (202130321), we get a palindrome (12505250521).

The spelling of 12303120200 in words is "twelve billion, three hundred three million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 619 700 1238 1400 2476 3095 4333 4952 6190 8666 12380 14197 15475 17332 21665 24760 28394 30950 34664 43330 56788 61900 70985 86660 99379 108325 113576 123800 141970 173320 198758 216650 283940 354925 397516 433300 496895 567880 709850 795032 866600 993790 1419700 1987580 2484475 2839400 3975160 4968950 8787943 9937900 17575886 19875800 35151772 43939715 61515601 70303544 87879430 123031202 175758860 219698575 246062404 307578005 351517720 439397150 492124808 615156010 878794300 1230312020 1537890025 1757588600 2460624040 3075780050 6151560100 12303120200