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12122240 = 275133147
BaseRepresentation
bin101110001111…
…100010000000
3211210212120212
4232033202000
511100402430
61111453252
7205015544
oct56174200
924725525
1012122240
11692a689
124087228
132685830
141877a24
1510e6b95
hexb8f880

12122240 has 128 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 4239360.

The previous prime is 12122239. The next prime is 12122249. The reversal of 12122240 is 4222121.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (12122249) 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, 257897 + ... + 257943.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

Almost surely, 212122240 is an apocalyptic number.

12122240 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 12122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

12122240 is an abundant number, since it is smaller than the sum of its proper divisors (20778880).

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

12122240 is a wasteful number, since it uses less digits than its factorization.

12122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 12122240 is about 3481.7007338368. The cubic root of 12122240 is about 229.7176118450.

Adding to 12122240 its reverse (4222121), we get a palindrome (16344361).

The spelling of 12122240 in words is "twelve million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 47 52 62 64 65 80 94 104 124 128 130 155 160 188 208 235 248 260 310 320 376 403 416 470 496 520 611 620 640 752 806 832 940 992 1040 1222 1240 1457 1504 1612 1664 1880 1984 2015 2080 2444 2480 2914 3008 3055 3224 3760 3968 4030 4160 4888 4960 5828 6016 6110 6448 7285 7520 8060 8320 9776 9920 11656 12220 12896 14570 15040 16120 18941 19552 19840 23312 24440 25792 29140 30080 32240 37882 39104 46624 48880 51584 58280 64480 75764 78208 93248 94705 97760 116560 128960 151528 186496 189410 195520 233120 257920 303056 378820 391040 466240 606112 757640 932480 1212224 1515280 2424448 3030560 6061120 12122240