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12114320020 = 225111741199397
BaseRepresentation
bin10110100100001000…
…11101101010010100
31011021021020012221021
423102010131222110
5144302231220040
65322031530524
7606130010155
oct132204355224
934237205837
1012114320020
115157243a30
122421089a44
1311b0a502ca
1482cc9992c
154ad80324a
hex2d211da94

12114320020 has 192 divisors, whose sum is σ = 30329510400. Its totient is φ = 4014489600.

The previous prime is 12114319993. The next prime is 12114320033. The reversal of 12114320020 is 2002341121.

It is a super-3 number, since 3×121143200203 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12114319976 and 12114320003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30514462 + ... + 30514858.

It is an arithmetic number, because the mean of its divisors is an integer number (157966200).

Almost surely, 212114320020 is an apocalyptic number.

12114320020 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 12114320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15164755200).

12114320020 is an abundant number, since it is smaller than the sum of its proper divisors (18215190380).

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

12114320020 is a wasteful number, since it uses less digits than its factorization.

12114320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12114320020 its reverse (2002341121), we get a palindrome (14116661141).

The spelling of 12114320020 in words is "twelve billion, one hundred fourteen million, three hundred twenty thousand, twenty".