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12193000848 = 24337217311093
BaseRepresentation
bin10110101101100001…
…00110110110010000
31011110202021121202000
423112300212312100
5144432402011343
65333522154000
7611103540300
oct132660466620
934422247660
1012193000848
1151976a4006
1224434b2900
1311c413b102
148394db600
154b5695ed3
hex2d6c26d90

12193000848 has 480 divisors, whose sum is σ = 44538577920. Its totient is φ = 3170119680.

The previous prime is 12193000843. The next prime is 12193000849. The reversal of 12193000848 is 84800039121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12193000843) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11154990 + ... + 11156082.

It is an arithmetic number, because the mean of its divisors is an integer number (92788704).

Almost surely, 212193000848 is an apocalyptic number.

12193000848 is a gapful number since it is divisible by the number (18) 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 12193000848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22269288960).

12193000848 is an abundant number, since it is smaller than the sum of its proper divisors (32345577072).

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

12193000848 is a wasteful number, since it uses less digits than its factorization.

12193000848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 12193000848 its reverse (84800039121), we get a palindrome (96993039969).

The spelling of 12193000848 in words is "twelve billion, one hundred ninety-three million, eight hundred forty-eight", and thus it is an aban number.