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12168132 = 2231983643
BaseRepresentation
bin101110011010…
…101111000100
3211220012112120
4232122233010
511103340012
61112445540
7205266414
oct56325704
924805476
1012168132
116961109
1240a98b0
1326a06a2
14188a644
15110558c
hexb9abc4

12168132 has 48 divisors (see below), whose sum is σ = 30293760. Its totient is φ = 3790368.

The previous prime is 12168077. The next prime is 12168137. The reversal of 12168132 is 23186121.

It is not an unprimeable number, because it can be changed into a prime (12168137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18603 + ... + 19245.

It is an arithmetic number, because the mean of its divisors is an integer number (631120).

Almost surely, 212168132 is an apocalyptic number.

12168132 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 12168132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15146880).

12168132 is an abundant number, since it is smaller than the sum of its proper divisors (18125628).

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

12168132 is a wasteful number, since it uses less digits than its factorization.

12168132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 750 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 12168132 is about 3488.2849654236. The cubic root of 12168132 is about 230.0071327341.

The spelling of 12168132 in words is "twelve million, one hundred sixty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 83 114 166 228 249 332 498 643 996 1286 1577 1929 2572 3154 3858 4731 6308 7716 9462 12217 18924 24434 36651 48868 53369 73302 106738 146604 160107 213476 320214 640428 1014011 2028022 3042033 4056044 6084066 12168132