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112020000012 = 223259174130293
BaseRepresentation
bin110100001010011101…
…0011000110100001100
3101201010212101121110100
41220110322120310030
53313404110000022
6123243345211100
711043650201214
oct1502472306414
9351125347410
10112020000012
1143564408008
1219863330a90
13a742b5769b
1455c95a7244
152da960b1ac
hex1a14e98d0c

112020000012 has 72 divisors (see below), whose sum is σ = 288135928080. Its totient is φ = 36684823680.

The previous prime is 112020000007. The next prime is 112020000013. The reversal of 112020000012 is 210000020211.

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 = 112019999949 and 112020000003.

It is not an unprimeable number, because it can be changed into a prime (112020000013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3682738 + ... + 3713030.

It is an arithmetic number, because the mean of its divisors is an integer number (4001887890).

Almost surely, 2112020000012 is an apocalyptic number.

112020000012 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 112020000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144067964040).

112020000012 is an abundant number, since it is smaller than the sum of its proper divisors (176115928068).

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

112020000012 is a wasteful number, since it uses less digits than its factorization.

112020000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32103 (or 32098 counting only the distinct ones).

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

Adding to 112020000012 its reverse (210000020211), we get a palindrome (322020020223).

The spelling of 112020000012 in words is "one hundred twelve billion, twenty million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 1741 2124 3482 5223 6964 10446 15669 20892 30293 31338 60586 62676 90879 102719 121172 181758 205438 272637 308157 363516 410876 545274 616314 924471 1090548 1232628 1787287 1848942 3574574 3697884 5361861 7149148 10723722 16085583 21447444 32171166 52740113 64342332 105480226 158220339 210960452 316440678 474661017 632881356 949322034 1898644068 3111666667 6223333334 9335000001 12446666668 18670000002 28005000003 37340000004 56010000006 112020000012