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12061216 = 252941317
BaseRepresentation
bin101110000000…
…101000100000
3211200202212201
4232000220200
511041424331
61110302544
7204342616
oct56005040
924622781
1012061216
116898852
124057a54
132663b1b
14185d6b6
1510d3a61
hexb80a20

12061216 has 48 divisors (see below), whose sum is σ = 25242840. Its totient is φ = 5662720.

The previous prime is 12061213. The next prime is 12061237. The reversal of 12061216 is 61216021.

It can be written as a sum of positive squares in 4 ways, for example, as 4243600 + 7817616 = 2060^2 + 2796^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12061193 and 12061202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12061213) 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 7 ways as a sum of consecutive naturals, for example, 37890 + ... + 38206.

Almost surely, 212061216 is an apocalyptic number.

12061216 is a gapful number since it is divisible by the number (16) 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 12061216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12621420).

12061216 is an abundant number, since it is smaller than the sum of its proper divisors (13181624).

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

12061216 is a wasteful number, since it uses less digits than its factorization.

12061216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 12061216 is about 3472.9261437583. The cubic root of 12061216 is about 229.3314929845.

Adding to 12061216 its reverse (61216021), we get a palindrome (73277237).

The spelling of 12061216 in words is "twelve million, sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 29 32 41 58 82 116 164 232 317 328 464 634 656 928 1189 1268 1312 2378 2536 4756 5072 9193 9512 10144 12997 18386 19024 25994 36772 38048 51988 73544 103976 147088 207952 294176 376913 415904 753826 1507652 3015304 6030608 12061216