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12130432600 = 235211131972153
BaseRepresentation
bin10110100110000011…
…11011011001011000
31011022101112211020111
423103001323121120
5144320342320400
65323405134104
7606413655466
oct132301733130
934271484214
1012130432600
115165349610
12242655a334
1311b41a2190
14831091836
154aee373ba
hex2d307b658

12130432600 has 192 divisors, whose sum is σ = 33317555040. Its totient is φ = 4049203200.

The previous prime is 12130432597. The next prime is 12130432609. The reversal of 12130432600 is 623403121.

12130432600 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 (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130432609) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5633124 + ... + 5635276.

Almost surely, 212130432600 is an apocalyptic number.

12130432600 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 12130432600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16658777520).

12130432600 is an abundant number, since it is smaller than the sum of its proper divisors (21187122440).

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

12130432600 is a wasteful number, since it uses less digits than its factorization.

12130432600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12130432600 its reverse (623403121), we get a palindrome (12753835721).

The spelling of 12130432600 in words is "twelve billion, one hundred thirty million, four hundred thirty-two thousand, six hundred".