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12188896200 = 23345213311867
BaseRepresentation
bin10110101101000001…
…11100101111001000
31011110110120002020000
423112200330233020
5144430324134300
65333254203000
7611023623345
oct132640745710
934413502200
1012188896200
115195350138
122442053460
1311c3331a20
14838b4d7cc
154b5134c00
hex2d683cbc8

12188896200 has 480 divisors, whose sum is σ = 47086152960. Its totient is φ = 2902003200.

The previous prime is 12188896189. The next prime is 12188896211. The reversal of 12188896200 is 269888121.

It is a happy number.

12188896200 is a `hidden beast` number, since 1 + 2 + 18 + 8 + 8 + 9 + 620 + 0 = 666.

12188896200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12188896189) and next prime (12188896211).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6527667 + ... + 6529533.

It is an arithmetic number, because the mean of its divisors is an integer number (98096152).

Almost surely, 212188896200 is an apocalyptic number.

12188896200 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 12188896200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23543076480).

12188896200 is an abundant number, since it is smaller than the sum of its proper divisors (34897256760).

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

12188896200 is a wasteful number, since it uses less digits than its factorization.

12188896200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 12188896200 in words is "twelve billion, one hundred eighty-eight million, eight hundred ninety-six thousand, two hundred".