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12000642108 = 223713174115767
BaseRepresentation
bin10110010110100101…
…10100010000111100
31010222100022210011020
423023102310100330
5144034131021413
65302451224140
7603246526530
oct131322642074
933870283136
1012000642108
1150a9060044
1223aaba8050
13119332ab80
1481bb47bc0
154a384ac23
hex2cb4b443c

12000642108 has 192 divisors, whose sum is σ = 37383026688. Its totient is φ = 2905989120.

The previous prime is 12000642103. The next prime is 12000642109. The reversal of 12000642108 is 80124600021.

It is a super-2 number, since 2×120006421082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000642103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 753241 + ... + 769007.

It is an arithmetic number, because the mean of its divisors is an integer number (194703264).

Almost surely, 212000642108 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 12000642108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18691513344).

12000642108 is an abundant number, since it is smaller than the sum of its proper divisors (25382384580).

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

12000642108 is a wasteful number, since it uses less digits than its factorization.

12000642108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15852 (or 15850 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 12000642108 in words is "twelve billion, six hundred forty-two thousand, one hundred eight".