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12201728 = 28711619
BaseRepresentation
bin101110100010…
…111100000000
3211221220121212
4232202330000
511110423403
61113305252
7205466360
oct56427400
924856555
1012201728
116984380
124105228
1326b2a76
1418989a0
1511104d8
hexba2f00

12201728 has 72 divisors (see below), whose sum is σ = 30414720. Its totient is φ = 4746240.

The previous prime is 12201719. The next prime is 12201737. The reversal of 12201728 is 82710221.

It is an interprime number because it is at equal distance from previous prime (12201719) and next prime (12201737).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19403 + ... + 20021.

Almost surely, 212201728 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 12201728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15207360).

12201728 is an abundant number, since it is smaller than the sum of its proper divisors (18212992).

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

12201728 is an equidigital number, since it uses as much as digits as its factorization.

12201728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 12201728 is about 3493.0971930366. The cubic root of 12201728 is about 230.2186201082.

Adding to 12201728 its reverse (82710221), we get a palindrome (94911949).

The spelling of 12201728 in words is "twelve million, two hundred one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 619 704 896 1232 1238 1408 1792 2464 2476 2816 4333 4928 4952 6809 8666 9856 9904 13618 17332 19712 19808 27236 34664 39616 47663 54472 69328 79232 95326 108944 138656 158464 190652 217888 277312 381304 435776 554624 762608 871552 1109248 1525216 1743104 3050432 6100864 12201728