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12211204040 = 2357175943481
BaseRepresentation
bin10110101111101100…
…00010111111001000
31011112000112102211022
423113312002333020
5200002032012130
65335412252012
7611414343650
oct132766027710
934460472738
1012211204040
1151a69a7372
122449611008
1311c7b42729
1483bab9360
154b708e7e5
hex2d7d82fc8

12211204040 has 128 divisors (see below), whose sum is σ = 33811603200. Its totient is φ = 3873546240.

The previous prime is 12211204039. The next prime is 12211204123. The reversal of 12211204040 is 4040211221.

It is a super-2 number, since 2×122112040402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259100 + ... + 302580.

It is an arithmetic number, because the mean of its divisors is an integer number (264153150).

Almost surely, 212211204040 is an apocalyptic number.

12211204040 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 12211204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16905801600).

12211204040 is an abundant number, since it is smaller than the sum of its proper divisors (21600399160).

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

12211204040 is a wasteful number, since it uses less digits than its factorization.

12211204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43575 (or 43571 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12211204040 its reverse (4040211221), we get a palindrome (16251415261).

The spelling of 12211204040 in words is "twelve billion, two hundred eleven million, two hundred four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 59 68 70 85 118 119 136 140 170 236 238 280 295 340 413 472 476 590 595 680 826 952 1003 1180 1190 1652 2006 2065 2360 2380 3304 4012 4130 4760 5015 7021 8024 8260 10030 14042 16520 20060 28084 35105 40120 43481 56168 70210 86962 140420 173924 217405 280840 304367 347848 434810 608734 739177 869620 1217468 1478354 1521835 1739240 2434936 2565379 2956708 3043670 3695885 5130758 5174239 5913416 6087340 7391770 10261516 10348478 12174680 12826895 14783540 17957653 20523032 20696956 25653790 25871195 29567080 35915306 41393912 43611443 51307580 51742390 71830612 87222886 89788265 102615160 103484780 143661224 174445772 179576530 206969560 218057215 305280101 348891544 359153060 436114430 610560202 718306120 872228860 1221120404 1526400505 1744457720 2442240808 3052801010 6105602020 12211204040