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1221168 = 2431319103
BaseRepresentation
bin100101010001000110000
32022001010110
410222020300
5303034133
642101320
713244154
oct4521060
92261113
101221168
11764533
124aa840
13339ab0
1423b064
15191c63
hex12a230

1221168 has 80 divisors (see below), whose sum is σ = 3610880. Its totient is φ = 352512.

The previous prime is 1221167. The next prime is 1221193. The reversal of 1221168 is 8611221.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1221163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11805 + ... + 11907.

It is an arithmetic number, because the mean of its divisors is an integer number (45136).

21221168 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 1221168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805440).

1221168 is an abundant number, since it is smaller than the sum of its proper divisors (2389712).

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

1221168 is a wasteful number, since it uses less digits than its factorization.

1221168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 1221168 is about 1105.0647039880. The cubic root of 1221168 is about 106.8870616666.

Adding to 1221168 its reverse (8611221), we get a palindrome (9832389).

It can be divided in two parts, 12 and 21168, that multiplied together give a square (254016 = 5042).

The spelling of 1221168 in words is "one million, two hundred twenty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 103 104 114 152 156 206 208 228 247 304 309 312 412 456 494 618 624 741 824 912 988 1236 1339 1482 1648 1957 1976 2472 2678 2964 3914 3952 4017 4944 5356 5871 5928 7828 8034 10712 11742 11856 15656 16068 21424 23484 25441 31312 32136 46968 50882 64272 76323 93936 101764 152646 203528 305292 407056 610584 1221168