Search a number
-
+
12002112 = 263267311
BaseRepresentation
bin101101110010…
…001101000000
3211120202210200
4231302031000
511033031422
61105125200
7204005403
oct55621500
924522720
1012002112
116858401
124029800
132642c55
141845d3a
1510c12ac
hexb72340

12002112 has 84 divisors (see below), whose sum is σ = 35027616. Its totient is φ = 3928320.

The previous prime is 12002093. The next prime is 12002147. The reversal of 12002112 is 21120021.

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 = 12002094 and 12002103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38437 + ... + 38747.

Almost surely, 212002112 is an apocalyptic number.

12002112 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 12002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17513808).

12002112 is an abundant number, since it is smaller than the sum of its proper divisors (23025504).

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

12002112 is a wasteful number, since it uses less digits than its factorization.

12002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 383 counting only the distinct ones).

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

The square root of 12002112 is about 3464.4064426681. The cubic root of 12002112 is about 228.9562790366.

Adding to 12002112 its reverse (21120021), we get a palindrome (33122133).

The spelling of 12002112 in words is "twelve million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 134 144 192 201 268 288 311 402 536 576 603 622 804 933 1072 1206 1244 1608 1866 2144 2412 2488 2799 3216 3732 4288 4824 4976 5598 6432 7464 9648 9952 11196 12864 14928 19296 19904 20837 22392 29856 38592 41674 44784 59712 62511 83348 89568 125022 166696 179136 187533 250044 333392 375066 500088 666784 750132 1000176 1333568 1500264 2000352 3000528 4000704 6001056 12002112