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12322121130 = 232511471371933
BaseRepresentation
bin10110111100111010…
…01010010110101010
31011210202020121110200
423132131022112222
5200213430334010
65354413453030
7614232205254
oct133635122652
934722217420
1012322121130
115253574a90
12247a7a1176
131214b09347
1484c70ccd4
154c1b9dcc0
hex2de74a5aa

12322121130 has 192 divisors, whose sum is σ = 35972771328. Its totient is φ = 2900782080.

The previous prime is 12322121117. The next prime is 12322121179. The reversal of 12322121130 is 3112122321.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6373644 + ... + 6375576.

It is an arithmetic number, because the mean of its divisors is an integer number (187358184).

Almost surely, 212322121130 is an apocalyptic number.

12322121130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12322121130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17986385664).

12322121130 is an abundant number, since it is smaller than the sum of its proper divisors (23650650198).

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

12322121130 is a wasteful number, since it uses less digits than its factorization.

12322121130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12322121130 its reverse (3112122321), we get a palindrome (15434243451).

The spelling of 12322121130 in words is "twelve billion, three hundred twenty-two million, one hundred twenty-one thousand, one hundred thirty".