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12103213200 = 24352132113677
BaseRepresentation
bin10110100010110100…
…00110000010010000
31011020111022221020120
423101122012002100
5144241410310300
65320553510240
7605633420601
oct132132060220
934214287216
1012103213200
115150a48241
122419412380
1311ab661a20
1482b607da8
154ac85c3a0
hex2d1686090

12103213200 has 240 divisors, whose sum is σ = 41962272576. Its totient is φ = 2964326400.

The previous prime is 12103213183. The next prime is 12103213211. The reversal of 12103213200 is 231230121.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12103213200.

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, 3289762 + ... + 3293438.

Almost surely, 212103213200 is an apocalyptic number.

12103213200 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 12103213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20981136288).

12103213200 is an abundant number, since it is smaller than the sum of its proper divisors (29859059376).

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

12103213200 is a wasteful number, since it uses less digits than its factorization.

12103213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3922 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12103213200 its reverse (231230121), we get a palindrome (12334443321).

The spelling of 12103213200 in words is "twelve billion, one hundred three million, two hundred thirteen thousand, two hundred".