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123012 = 22331767
BaseRepresentation
bin11110000010000100
320020202000
4132002010
512414022
62345300
71021431
oct360204
9206660
10123012
118446a
125b230
1343cb6
1432b88
15266ac
hex1e084

123012 has 48 divisors (see below), whose sum is σ = 342720. Its totient is φ = 38016.

The previous prime is 123007. The next prime is 123017. The reversal of 123012 is 210321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123007) and next prime (123017).

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

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 122985 and 123003.

It is not an unprimeable number, because it can be changed into a prime (123017) by changing a digit.

123012 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1803 + ... + 1869.

It is an arithmetic number, because the mean of its divisors is an integer number (7140).

2123012 is an apocalyptic number.

123012 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 123012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171360).

123012 is an abundant number, since it is smaller than the sum of its proper divisors (219708).

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

123012 is a wasteful number, since it uses less digits than its factorization.

123012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 123012 is about 350.7306658962. The cubic root of 123012 is about 49.7335155776.

Adding to 123012 its reverse (210321), we get a palindrome (333333).

The spelling of 123012 in words is "one hundred twenty-three thousand, twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 67 68 102 108 134 153 201 204 268 306 402 459 603 612 804 918 1139 1206 1809 1836 2278 2412 3417 3618 4556 6834 7236 10251 13668 20502 30753 41004 61506 123012