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12103003200 = 263524189691
BaseRepresentation
bin10110100010110010…
…10010110001000000
31011020110221021011210
423101121102301000
5144241332100300
65320545210120
7605631554421
oct132131226100
934213837153
1012103003200
115150914492
122419330940
1311ab5ba272
1482b591648
154ac81a050
hex2d1652c40

12103003200 has 336 divisors, whose sum is σ = 41192988480. Its totient is φ = 3108864000.

The previous prime is 12103003181. The next prime is 12103003217. The reversal of 12103003200 is 230030121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 17514855 + ... + 17515545.

It is an arithmetic number, because the mean of its divisors is an integer number (122598180).

Almost surely, 212103003200 is an apocalyptic number.

12103003200 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 12103003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20596494240).

12103003200 is an abundant number, since it is smaller than the sum of its proper divisors (29089985280).

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

12103003200 is a wasteful number, since it uses less digits than its factorization.

12103003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12103003200 its reverse (230030121), we get a palindrome (12333033321).

The spelling of 12103003200 in words is "twelve billion, one hundred three million, three thousand, two hundred".