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12080200032 = 2534311491009
BaseRepresentation
bin10110100000000100…
…10011100101100000
31011011220000202010000
423100002103211200
5144220012400112
65314412340000
7605234002035
oct132002234540
934156022100
1012080200032
115139a5a09a
122411774600
1311a6964c74
1482853738c
154aa8137dc
hex2d0093960

12080200032 has 240 divisors, whose sum is σ = 36956304000. Its totient is φ = 3866849280.

The previous prime is 12080200003. The next prime is 12080200039. The reversal of 12080200032 is 23000208021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12080199978 and 12080200014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12080200039) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11971944 + ... + 11972952.

It is an arithmetic number, because the mean of its divisors is an integer number (153984600).

Almost surely, 212080200032 is an apocalyptic number.

12080200032 is a gapful number since it is divisible by the number (12) 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 12080200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18478152000).

12080200032 is an abundant number, since it is smaller than the sum of its proper divisors (24876103968).

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

12080200032 is a wasteful number, since it uses less digits than its factorization.

12080200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12080200032 its reverse (23000208021), we get a palindrome (35080408053).

The spelling of 12080200032 in words is "twelve billion, eighty million, two hundred thousand, thirty-two".