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12060850821120 = 2113355361103131
BaseRepresentation
bin1010111110000010001010…
…1110101001100000000000
31120201000011102122002201000
42233200202232221200000
53040101110302233440
641352402310212000
72353240061321163
oct257404256514000
946630142562630
1012060850821120
11392aa83954412
121429582654000
136964444b4a0a
142d9a69469ada
1515dae51d8730
hexaf822ba9800

12060850821120 has 1536 divisors, whose sum is σ = 45170808883200. Its totient is φ = 3050215833600.

The previous prime is 12060850821053. The next prime is 12060850821121. The reversal of 12060850821120 is 2112805806021.

12060850821120 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 0 + 8 + 508 + 21 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12060850821121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92067563455 + ... + 92067563585.

It is an arithmetic number, because the mean of its divisors is an integer number (29408078700).

Almost surely, 212060850821120 is an apocalyptic number.

12060850821120 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 12060850821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22585404441600).

12060850821120 is an abundant number, since it is smaller than the sum of its proper divisors (33109958062080).

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

12060850821120 is a wasteful number, since it uses less digits than its factorization.

12060850821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 12060850821120 in words is "twelve trillion, sixty billion, eight hundred fifty million, eight hundred twenty-one thousand, one hundred twenty".