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12066365351070 = 2355293110335347
BaseRepresentation
bin1010111110010110101101…
…1010111010010010011110
31120201112101202012020200000
42233211223122322102132
53040143404012213240
641355113421515130
72353523532130032
oct257455332722236
946645352166600
1012066365351070
113932353742388
12142a661412aa6
13696b12b150a4
142da02d9c61c2
1515dd193c8430
hexaf96b6ba49e

12066365351070 has 384 divisors, whose sum is σ = 34782200893440. Its totient is φ = 3003052631040.

The previous prime is 12066365351069. The next prime is 12066365351087. The reversal of 12066365351070 is 7015356366021.

12066365351070 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 6 + 3 + 6 + 535 + 107 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2256658137 + ... + 2256663483.

It is an arithmetic number, because the mean of its divisors is an integer number (90578648160).

Almost surely, 212066365351070 is an apocalyptic number.

12066365351070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12066365351070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17391100446720).

12066365351070 is an abundant number, since it is smaller than the sum of its proper divisors (22715835542370).

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

12066365351070 is a wasteful number, since it uses less digits than its factorization.

12066365351070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6462 (or 6450 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 12066365351070 in words is "twelve trillion, sixty-six billion, three hundred sixty-five million, three hundred fifty-one thousand, seventy".