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12021408 = 253276789
BaseRepresentation
bin101101110110…
…111010100000
3211121202021100
4231312322200
511034141113
61105354400
7204115560
oct55667240
924552240
1012021408
116870953
124038a00
13264b979
14184cda0
1510c6d73
hexb76ea0

12021408 has 144 divisors (see below), whose sum is σ = 40098240. Its totient is φ = 3345408.

The previous prime is 12021403. The next prime is 12021473. The reversal of 12021408 is 80412021.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12021403) by changing a digit.

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, 135028 + ... + 135116.

It is an arithmetic number, because the mean of its divisors is an integer number (278460).

Almost surely, 212021408 is an apocalyptic number.

12021408 is a gapful number since it is divisible by the number (18) 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 12021408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

12021408 is an abundant number, since it is smaller than the sum of its proper divisors (28076832).

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

12021408 is a wasteful number, since it uses less digits than its factorization.

12021408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12021408 is about 3467.1902168759. The cubic root of 12021408 is about 229.0789123107.

Adding to 12021408 its reverse (80412021), we get a palindrome (92433429).

It can be divided in two parts, 120 and 21408, that added together give a triangular number (21528 = T207).

The spelling of 12021408 in words is "twelve million, twenty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 67 72 84 89 96 112 126 134 144 168 178 201 224 252 267 268 288 336 356 402 469 504 534 536 603 623 672 712 801 804 938 1008 1068 1072 1206 1246 1407 1424 1602 1608 1869 1876 2016 2136 2144 2412 2492 2814 2848 3204 3216 3738 3752 4221 4272 4824 4984 5607 5628 5963 6408 6432 7476 7504 8442 8544 9648 9968 11214 11256 11926 12816 14952 15008 16884 17889 19296 19936 22428 22512 23852 25632 29904 33768 35778 41741 44856 45024 47704 53667 59808 67536 71556 83482 89712 95408 107334 125223 135072 143112 166964 179424 190816 214668 250446 286224 333928 375669 429336 500892 572448 667856 751338 858672 1001784 1335712 1502676 1717344 2003568 3005352 4007136 6010704 12021408