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12099799160064 = 28347211592311
BaseRepresentation
bin1011000000010011010000…
…1110110001010100000000
31120211201200210210201110000
42300010310032301110000
53041220342041110224
641422323200240000
72356116205614600
oct260046416612400
946751623721400
1012099799160064
113945550203990
121435032310000
1369a01070c915
142db8c20bcc00
1515eb246d70c9
hexb01343b1500

12099799160064 has 1620 divisors, whose sum is σ = 46724309599968. Its totient is φ = 3079602892800.

The previous prime is 12099799160023. The next prime is 12099799160069. The reversal of 12099799160064 is 46006199799021.

12099799160064 is a `hidden beast` number, since 12 + 0 + 9 + 9 + 7 + 9 + 9 + 1 + 600 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 12099799159983 and 12099799160010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12099799160069) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 38906106469 + ... + 38906106779.

Almost surely, 212099799160064 is an apocalyptic number.

12099799160064 is a gapful number since it is divisible by the number (14) 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 12099799160064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23362154799984).

12099799160064 is an abundant number, since it is smaller than the sum of its proper divisors (34624510439904).

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

12099799160064 is an equidigital number, since it uses as much as digits as its factorization.

12099799160064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 12099799160064 in words is "twelve trillion, ninety-nine billion, seven hundred ninety-nine million, one hundred sixty thousand, sixty-four".