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12066403117500 = 22325423128918089
BaseRepresentation
bin1010111110010110110110…
…1010111110100110111100
31120201112111101020222110200
42233211231222332212330
53040143443144230000
641355121251203500
72353524501133164
oct257455552764674
946645441228420
1012066403117500
113932372a97906
12142a671ba6590
13696b1a8a90a4
142da034a175a4
1515dd1c888500
hexaf96dabe9bc

12066403117500 has 360 divisors, whose sum is σ = 39804479114400. Its totient is φ = 3075249408000.

The previous prime is 12066403117499. The next prime is 12066403117513. The reversal of 12066403117500 is 571130466021.

12066403117500 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 640 + 3 + 1 + 1 + 7 + 5 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 667048456 + ... + 667066544.

It is an arithmetic number, because the mean of its divisors is an integer number (110567997540).

Almost surely, 212066403117500 is an apocalyptic number.

12066403117500 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 12066403117500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19902239557200).

12066403117500 is an abundant number, since it is smaller than the sum of its proper divisors (27738075996900).

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

12066403117500 is a wasteful number, since it uses less digits than its factorization.

12066403117500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19431 (or 19411 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12066403117500 in words is "twelve trillion, sixty-six billion, four hundred three million, one hundred seventeen thousand, five hundred".