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12127999104 = 273413176779
BaseRepresentation
bin10110100101110001…
…01001010010000000
31011022012222012010000
423102320221102000
5144314231432404
65323241040000
7606354201654
oct132270512200
934265865100
1012127999104
115163a37261
122425786000
1311b382c640
14830a1aa64
154aeb06339
hex2d2e29480

12127999104 has 640 divisors, whose sum is σ = 42298502400. Its totient is φ = 3415965696.

The previous prime is 12127999067. The next prime is 12127999109. The reversal of 12127999104 is 40199972121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12127999104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12127999109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 153518937 + ... + 153519015.

It is an arithmetic number, because the mean of its divisors is an integer number (66091410).

Almost surely, 212127999104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12127999104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21149251200).

12127999104 is an abundant number, since it is smaller than the sum of its proper divisors (30170503296).

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

12127999104 is a wasteful number, since it uses less digits than its factorization.

12127999104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 12127999104 in words is "twelve billion, one hundred twenty-seven million, nine hundred ninety-nine thousand, one hundred four".