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12122032240 = 2451723616353
BaseRepresentation
bin10110100101000011…
…11000100001110000
31011021210202001010001
423102201320201300
5144311220012430
65322505115344
7606252400603
oct132241704160
934253661101
1012122032240
11516063126a
122423788b54
1311b2520756
1482dd0633a
154ae3283ca
hex2d2878870

12122032240 has 160 divisors (see below), whose sum is σ = 31654509696. Its totient is φ = 4292935680.

The previous prime is 12122032187. The next prime is 12122032283. The reversal of 12122032240 is 4223022121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1904904 + ... + 1911256.

Almost surely, 212122032240 is an apocalyptic number.

12122032240 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 12122032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15827254848).

12122032240 is an abundant number, since it is smaller than the sum of its proper divisors (19532477456).

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

12122032240 is a wasteful number, since it uses less digits than its factorization.

12122032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6467 (or 6461 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 12122032240 its reverse (4223022121), we get a palindrome (16345054361).

The spelling of 12122032240 in words is "twelve billion, one hundred twenty-two million, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 61 68 80 85 92 115 122 136 170 184 230 244 272 305 340 368 391 460 488 610 680 782 920 976 1037 1220 1360 1403 1564 1840 1955 2074 2440 2806 3128 3910 4148 4880 5185 5612 6256 6353 7015 7820 8296 10370 11224 12706 14030 15640 16592 20740 22448 23851 25412 28060 31280 31765 41480 47702 50824 56120 63530 82960 95404 101648 108001 112240 119255 127060 146119 190808 216002 238510 254120 292238 381616 387533 432004 477020 508240 540005 584476 730595 775066 864008 954040 1080010 1168952 1461190 1550132 1728016 1908080 1937665 2160020 2337904 2484023 2922380 3100264 3875330 4320040 4968046 5844760 6200528 6588061 7750660 8640080 8913259 9936092 11689520 12420115 13176122 15501320 17826518 19872184 24840230 26352244 31002640 32940305 35653036 39744368 44566295 49680460 52704488 65880610 71306072 89132590 99360920 105408976 131761220 142612144 151525403 178265180 198721840 263522440 303050806 356530360 527044880 606101612 713060720 757627015 1212203224 1515254030 2424406448 3030508060 6061016120 12122032240