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12020000000112 = 243213172571469659
BaseRepresentation
bin1010111011101001111111…
…0101001000100001110000
31120120002201110121101012100
42232322133311020201300
53033413430000000422
641321524535300400
72350262543136516
oct256723765104160
946502643541170
1012020000000112
113914720703a15
12142168181a700
13692634097590
142d7ab1ca44b6
1515ca03b8b7ac
hexaee9fd48870

12020000000112 has 240 divisors, whose sum is σ = 38507220067680. Its totient is φ = 3467358240768.

The previous prime is 12020000000083. The next prime is 12020000000117. The reversal of 12020000000112 is 21100000002021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12020000000094 and 12020000000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020000000117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7443939 + ... + 8913597.

It is an arithmetic number, because the mean of its divisors is an integer number (160446750282).

Almost surely, 212020000000112 is an apocalyptic number.

12020000000112 is a gapful number since it is divisible by the number (12) 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 12020000000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19253610033840).

12020000000112 is an abundant number, since it is smaller than the sum of its proper divisors (26487220067568).

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

12020000000112 is a wasteful number, since it uses less digits than its factorization.

12020000000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469960 (or 1469951 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12020000000112 its reverse (21100000002021), we get a palindrome (33120000002133).

The spelling of 12020000000112 in words is "twelve trillion, twenty billion, one hundred twelve", and thus it is an aban number.