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12117468 = 22311412239
BaseRepresentation
bin101110001110…
…010111011100
3211210122001010
4232032113130
511100224333
61111415220
7204665616
oct56162734
924718033
1012117468
116927040
124084510
1326835cc
141875db6
1510e5563
hexb8e5dc

12117468 has 48 divisors (see below), whose sum is σ = 31610880. Its totient is φ = 3580800.

The previous prime is 12117461. The next prime is 12117473. The reversal of 12117468 is 86471121.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12117461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4293 + ... + 6531.

It is an arithmetic number, because the mean of its divisors is an integer number (658560).

Almost surely, 212117468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12117468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15805440).

12117468 is an abundant number, since it is smaller than the sum of its proper divisors (19493412).

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

12117468 is a wasteful number, since it uses less digits than its factorization.

12117468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2296 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 12117468 is about 3481.0153691129. The cubic root of 12117468 is about 229.6874646027.

Adding to 12117468 its reverse (86471121), we get a palindrome (98588589).

The spelling of 12117468 in words is "twelve million, one hundred seventeen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2239 2706 4478 5412 6717 8956 13434 24629 26868 49258 73887 91799 98516 147774 183598 275397 295548 367196 550794 1009789 1101588 2019578 3029367 4039156 6058734 12117468