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12000516096 = 211353137269
BaseRepresentation
bin10110010110100100…
…10101100000000000
31010222100002101022010
423023102111200000
5144034113003341
65302444412520
7603245463252
oct131322254000
933870071263
1012000516096
1150a8a843a8
1223aab47140
1311932b56ca
1481bb13cd2
154a3823716
hex2cb495800

12000516096 has 192 divisors, whose sum is σ = 32957215200. Its totient is φ = 3881566208.

The previous prime is 12000516089. The next prime is 12000516097. The reversal of 12000516096 is 69061500021.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000516097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44611450 + ... + 44611718.

Almost surely, 212000516096 is an apocalyptic number.

12000516096 is a gapful number since it is divisible by the number (16) 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 12000516096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16478607600).

12000516096 is an abundant number, since it is smaller than the sum of its proper divisors (20956699104).

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

12000516096 is a wasteful number, since it uses less digits than its factorization.

12000516096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 12000516096 in words is "twelve billion, five hundred sixteen thousand, ninety-six".