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12122042240 = 275711245983
BaseRepresentation
bin10110100101000011…
…11010111110000000
31011021210202112211102
423102201322332000
5144311220322430
65322505233532
7606252442010
oct132241727600
934253675742
1012122042240
115160638830
1224237928a8
1311b2525179
1482dd09c40
154ae32b345
hex2d287af80

12122042240 has 128 divisors (see below), whose sum is σ = 36130129920. Its totient is φ = 3778283520.

The previous prime is 12122042227. The next prime is 12122042269. The reversal of 12122042240 is 4224022121.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73712 + ... + 172271.

It is an arithmetic number, because the mean of its divisors is an integer number (282266640).

Almost surely, 212122042240 is an apocalyptic number.

12122042240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122042240 is an abundant number, since it is smaller than the sum of its proper divisors (24008087680).

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

12122042240 is a wasteful number, since it uses less digits than its factorization.

12122042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246020 (or 246008 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12122042240 its reverse (4224022121), we get a palindrome (16346064361).

The spelling of 12122042240 in words is "twelve billion, one hundred twenty-two million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1408 1540 1760 2240 2464 3080 3520 4480 4928 6160 7040 9856 12320 24640 49280 245983 491966 983932 1229915 1721881 1967864 2459830 2705813 3443762 3935728 4919660 5411626 6887524 7871456 8609405 9839320 10823252 13529065 13775048 15742912 17218810 18940691 19678640 21646504 27058130 27550096 31485824 34437620 37881382 39357280 43293008 54116260 55100192 68875240 75762764 78714560 86586016 94703455 108232520 110200384 137750480 151525528 157429120 173172032 189406910 216465040 220400768 275500960 303051056 346344064 378813820 432930080 551001920 606102112 757627640 865860160 1102003840 1212204224 1515255280 1731720320 2424408448 3030510560 6061021120 12122042240