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12180144 = 243475399
BaseRepresentation
bin101110011101…
…101010110000
3211220211000110
4232131222300
511104231034
61113021320
7205346424
oct56355260
924824013
1012180144
11696a139
1240b4840
1326a5cb2
141890b84
151108de9
hexb9dab0

12180144 has 40 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 3972928.

The previous prime is 12180101. The next prime is 12180151. The reversal of 12180144 is 44108121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12180144.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 444 + ... + 4955.

It is an arithmetic number, because the mean of its divisors is an integer number (803520).

Almost surely, 212180144 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 12180144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

12180144 is an abundant number, since it is smaller than the sum of its proper divisors (19960656).

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

12180144 is a wasteful number, since it uses less digits than its factorization.

12180144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 12180144 is about 3490.0063037192. The cubic root of 12180144 is about 230.0827931297.

Adding to 12180144 its reverse (44108121), we get a palindrome (56288265).

The spelling of 12180144 in words is "twelve million, one hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 5399 10798 16197 21596 32394 43192 64788 86384 129576 253753 259152 507506 761259 1015012 1522518 2030024 3045036 4060048 6090072 12180144