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12114342322020 = 223352316338915383
BaseRepresentation
bin1011000001001001011100…
…0100100001111101100100
31120220010020100022220011000
42300102113010201331210
53041440133113301040
641433130234513300
72360142460504641
oct260222704417544
946803210286130
1012114342322020
1139507334697a4
121437a10895830
1369b4ba7066b3
142dc4a1784dc8
151601c635c130
hexb0497121f64

12114342322020 has 384 divisors, whose sum is σ = 39673293004800. Its totient is φ = 3062983942656.

The previous prime is 12114342322009. The next prime is 12114342322039. The reversal of 12114342322020 is 2022324341121.

12114342322020 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 434 + 2 + 3 + 220 + 2 + 0 = 666.

It is a super-3 number, since 3×121143423220203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 787507249 + ... + 787522631.

It is an arithmetic number, because the mean of its divisors is an integer number (103315867200).

Almost surely, 212114342322020 is an apocalyptic number.

12114342322020 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 12114342322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19836646502400).

12114342322020 is an abundant number, since it is smaller than the sum of its proper divisors (27558950682780).

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

12114342322020 is a wasteful number, since it uses less digits than its factorization.

12114342322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15976 (or 15968 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12114342322020 its reverse (2022324341121), we get a palindrome (14136666663141).

The spelling of 12114342322020 in words is "twelve trillion, one hundred fourteen billion, three hundred forty-two million, three hundred twenty-two thousand, twenty".