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12135804120 = 23325114636619
BaseRepresentation
bin10110100110101100…
…11010110011011000
31011022202122201120200
423103112122303120
5144323231212440
65324120222200
7606510430056
oct132326326330
934282581520
1012135804120
115168388290
12242830a960
1311b53330ab
14831a8d1d6
154b0648c30
hex2d359acd8

12135804120 has 192 divisors, whose sum is σ = 43126387200. Its totient is φ = 2935215360.

The previous prime is 12135804113. The next prime is 12135804169. The reversal of 12135804120 is 2140853121.

12135804120 is a `hidden beast` number, since 1 + 21 + 3 + 580 + 41 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1830171 + ... + 1836789.

It is an arithmetic number, because the mean of its divisors is an integer number (224616600).

Almost surely, 212135804120 is an apocalyptic number.

12135804120 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 12135804120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21563193600).

12135804120 is an abundant number, since it is smaller than the sum of its proper divisors (30990583080).

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

12135804120 is a wasteful number, since it uses less digits than its factorization.

12135804120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7110 (or 7103 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 12135804120 in words is "twelve billion, one hundred thirty-five million, eight hundred four thousand, one hundred twenty".