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12020800 = 265211683
BaseRepresentation
bin101101110110…
…110001000000
3211121201102211
4231312301000
511034131200
61105351504
7204114031
oct55666100
924551384
1012020800
116870450
124038594
13264b5cc
14184ca88
1510c6aba
hexb76c40

12020800 has 84 divisors (see below), whose sum is σ = 32314896. Its totient is φ = 4364800.

The previous prime is 12020759. The next prime is 12020851. The reversal of 12020800 is 802021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17259 + ... + 17941.

Almost surely, 212020800 is an apocalyptic number.

12020800 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 12020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16157448).

12020800 is an abundant number, since it is smaller than the sum of its proper divisors (20294096).

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

12020800 is a wasteful number, since it uses less digits than its factorization.

12020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 12020800 is about 3467.1025367012. The cubic root of 12020800 is about 229.0750502471.

Adding to 12020800 its reverse (802021), we get a palindrome (12822821).

The spelling of 12020800 in words is "twelve million, twenty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 683 704 800 880 1100 1366 1600 1760 2200 2732 3415 3520 4400 5464 6830 7513 8800 10928 13660 15026 17075 17600 21856 27320 30052 34150 37565 43712 54640 60104 68300 75130 109280 120208 136600 150260 187825 218560 240416 273200 300520 375650 480832 546400 601040 751300 1092800 1202080 1502600 2404160 3005200 6010400 12020800