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111120012 = 223653719
BaseRepresentation
bin1101001111110…
…00111010001100
321202002111000000
412213320322030
5211421320022
615005404300
72516335023
oct647707214
9252074000
10111120012
11577a7123
1231269690
131a0380b3
1410a878ba
159b4e6ac
hex69f8e8c

111120012 has 84 divisors (see below), whose sum is σ = 297470880. Its totient is φ = 36290592.

The previous prime is 111119977. The next prime is 111120013. The reversal of 111120012 is 210021111.

It is a happy number.

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 = 111119976 and 111120003.

It is not an unprimeable number, because it can be changed into a prime (111120013) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 154189 + ... + 154907.

It is an arithmetic number, because the mean of its divisors is an integer number (3541320).

Almost surely, 2111120012 is an apocalyptic number.

111120012 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 111120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148735440).

111120012 is an abundant number, since it is smaller than the sum of its proper divisors (186350868).

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

111120012 is an equidigital number, since it uses as much as digits as its factorization.

111120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 111120012 is about 10541.3477316707. The cubic root of 111120012 is about 480.7626937295.

Adding to 111120012 its reverse (210021111), we get a palindrome (321141123).

The spelling of 111120012 in words is "one hundred eleven million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 243 318 324 477 486 636 719 729 954 972 1431 1438 1458 1908 2157 2862 2876 2916 4293 4314 5724 6471 8586 8628 12879 12942 17172 19413 25758 25884 38107 38637 38826 51516 58239 76214 77274 77652 114321 116478 152428 154548 174717 228642 232956 342963 349434 457284 524151 685926 698868 1028889 1048302 1371852 2057778 2096604 3086667 4115556 6173334 9260001 12346668 18520002 27780003 37040004 55560006 111120012