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12201280 = 265713419
BaseRepresentation
bin101110100010…
…110101000000
3211221220000021
4232202311000
511110420110
61113303224
7205465150
oct56426500
924856007
1012201280
116984003
124104b14
1326b27c0
141898760
1511102da
hexba2d40

12201280 has 112 divisors (see below), whose sum is σ = 35844480. Its totient is φ = 3852288.

The previous prime is 12201269. The next prime is 12201283. The reversal of 12201280 is 8210221.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28911 + ... + 29329.

It is an arithmetic number, because the mean of its divisors is an integer number (320040).

Almost surely, 212201280 is an apocalyptic number.

12201280 is a gapful number since it is divisible by the number (10) 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 12201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922240).

12201280 is an abundant number, since it is smaller than the sum of its proper divisors (23643200).

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

12201280 is a wasteful number, since it uses less digits than its factorization.

12201280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 12201280 is about 3493.0330659758. The cubic root of 12201280 is about 230.2158024963.

It can be divided in two parts, 1220 and 1280, that added together give a square (2500 = 502).

The spelling of 12201280 in words is "twelve million, two hundred one thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 419 448 455 520 560 728 832 838 910 1040 1120 1456 1676 1820 2080 2095 2240 2912 2933 3352 3640 4160 4190 5447 5824 5866 6704 7280 8380 10894 11732 13408 14560 14665 16760 21788 23464 26816 27235 29120 29330 33520 38129 43576 46928 54470 58660 67040 76258 87152 93856 108940 117320 134080 152516 174304 187712 190645 217880 234640 305032 348608 381290 435760 469280 610064 762580 871520 938560 1220128 1525160 1743040 2440256 3050320 6100640 12201280