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12132534500 = 22531723229271
BaseRepresentation
bin10110100110010011…
…11100100011100100
31011022112111121111122
423103021330203210
5144321412101000
65323522153112
7606440561462
oct132311744344
934275447448
1012132534500
115166554819
1224271b2798
1311b4759ac8
1483147b832
154b0200085
hex2d327c8e4

12132534500 has 192 divisors, whose sum is σ = 29512304640. Its totient is φ = 4333824000.

The previous prime is 12132534499. The next prime is 12132534521. The reversal of 12132534500 is 543523121.

It is a happy number.

12132534500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12132534500.

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 63 ways as a sum of consecutive naturals, for example, 44769365 + ... + 44769635.

It is an arithmetic number, because the mean of its divisors is an integer number (153709920).

Almost surely, 212132534500 is an apocalyptic number.

12132534500 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 12132534500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14756152320).

12132534500 is an abundant number, since it is smaller than the sum of its proper divisors (17379770140).

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

12132534500 is a wasteful number, since it uses less digits than its factorization.

12132534500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 12132534500 in words is "twelve billion, one hundred thirty-two million, five hundred thirty-four thousand, five hundred".