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12129747084 = 22347132331577
BaseRepresentation
bin10110100101111110…
…10100000010001100
31011022100020222220000
423102333110002030
5144320203401314
65323342324300
7606405102060
oct132277240214
934270228800
1012129747084
115164a20574
122426289690
1311b3cc2150
14830d53aa0
154aed4e209
hex2d2fd408c

12129747084 has 480 divisors, whose sum is σ = 42110509056. Its totient is φ = 2956124160.

The previous prime is 12129747029. The next prime is 12129747121. The reversal of 12129747084 is 48074792121.

12129747084 is a `hidden beast` number, since 1 + 2 + 12 + 97 + 470 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21021804 + ... + 21022380.

Almost surely, 212129747084 is an apocalyptic number.

12129747084 is a gapful number since it is divisible by the number (14) 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 12129747084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21055254528).

12129747084 is an abundant number, since it is smaller than the sum of its proper divisors (29980761972).

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

12129747084 is a wasteful number, since it uses less digits than its factorization.

12129747084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 12129747084 in words is "twelve billion, one hundred twenty-nine million, seven hundred forty-seven thousand, eighty-four".