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12044100 = 22352192113
BaseRepresentation
bin101101111100…
…011101000100
3211122220101210
4231330131010
511040402400
61110051420
7204241665
oct55743504
924586353
1012044100
116886a02
124049b70
1326590b3
14185736c
1510cd950
hexb7c744

12044100 has 72 divisors (see below), whose sum is σ = 36699040. Its totient is φ = 3041280.

The previous prime is 12044069. The next prime is 12044141. The reversal of 12044100 is 144021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4644 + ... + 6756.

Almost surely, 212044100 is an apocalyptic number.

12044100 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 12044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18349520).

12044100 is an abundant number, since it is smaller than the sum of its proper divisors (24654940).

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

12044100 is a wasteful number, since it uses less digits than its factorization.

12044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12044100 is about 3470.4610644697. The cubic root of 12044100 is about 229.2229606424. Note that the first 3 decimals are identical.

Adding to 12044100 its reverse (144021), we get a palindrome (12188121).

The spelling of 12044100 in words is "twelve million, forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2113 2850 4226 5700 6339 8452 10565 12678 21130 25356 31695 40147 42260 52825 63390 80294 105650 120441 126780 158475 160588 200735 211300 240882 316950 401470 481764 602205 633900 802940 1003675 1204410 2007350 2408820 3011025 4014700 6022050 12044100