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12019800 = 23352132367
BaseRepresentation
bin101101110110…
…100001011000
3211121200001210
4231312201120
511034113200
61105343120
7204111102
oct55664130
924550053
1012019800
11686a721
124037aa0
13264b010
14184c572
1510c6650
hexb76858

12019800 has 192 divisors, whose sum is σ = 42497280. Its totient is φ = 2787840.

The previous prime is 12019793. The next prime is 12019801. The reversal of 12019800 is 891021.

Added to its reverse (891021) it gives a triangular number (12910821 = T5081).

12019800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12019801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179367 + ... + 179433.

It is an arithmetic number, because the mean of its divisors is an integer number (221340).

Almost surely, 212019800 is an apocalyptic number.

12019800 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 12019800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21248640).

12019800 is an abundant number, since it is smaller than the sum of its proper divisors (30477480).

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

12019800 is a wasteful number, since it uses less digits than its factorization.

12019800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 12019800 is about 3466.9583210647. The cubic root of 12019800 is about 229.0686978855.

Adding to 12019800 its reverse (891021), we get a triangular number (12910821 = T5081).

The spelling of 12019800 in words is "twelve million, nineteen thousand, eight hundred".