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12132330300 = 22325219809877
BaseRepresentation
bin10110100110010010…
…01010101100111100
31011022112010020101200
423103021022230330
5144321334032200
65323513535500
7606436051236
oct132311125474
934275106350
1012132330300
115166425362
122427114590
1311b46b7b8c
14831427256
154b01ae800
hex2d324ab3c

12132330300 has 216 divisors, whose sum is σ = 40124775600. Its totient is φ = 3057730560.

The previous prime is 12132330277. The next prime is 12132330317. The reversal of 12132330300 is 303323121.

12132330300 is a `hidden beast` number, since 1 + 2 + 1 + 32 + 330 + 300 = 666.

12132330300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 13833462 + ... + 13834338.

It is an arithmetic number, because the mean of its divisors is an integer number (185762850).

Almost surely, 212132330300 is an apocalyptic number.

12132330300 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 12132330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20062387800).

12132330300 is an abundant number, since it is smaller than the sum of its proper divisors (27992445300).

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

12132330300 is a wasteful number, since it uses less digits than its factorization.

12132330300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12132330300 its reverse (303323121), we get a palindrome (12435653421).

The spelling of 12132330300 in words is "twelve billion, one hundred thirty-two million, three hundred thirty thousand, three hundred".