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112210200122120 = 23541591609720743
BaseRepresentation
bin11001100000110111111001…
…000111100101001100001000
3112201022012010210000012122022
4121200313321013211030020
5104201422442212401440
61034352353154544012
732430630235550162
oct3140677107451410
9481265123005568
10112210200122120
1132832095722971
1210703108b98008
134a7c4b813cbc9
141d9d007449932
15ce8ca13a2cb5
hex660df91e5308

112210200122120 has 128 divisors (see below), whose sum is σ = 263178230112000. Its totient is φ = 43020340408320.

The previous prime is 112210200122107. The next prime is 112210200122147. The reversal of 112210200122120 is 21221002012211.

It is a super-2 number, since 2×1122102001221202 (a number of 29 digits) contains 22 as substring.

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, 155326469 + ... + 156047211.

It is an arithmetic number, because the mean of its divisors is an integer number (2056079922750).

Almost surely, 2112210200122120 is an apocalyptic number.

112210200122120 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 112210200122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131589115056000).

112210200122120 is an abundant number, since it is smaller than the sum of its proper divisors (150968029989880).

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

112210200122120 is a wasteful number, since it uses less digits than its factorization.

112210200122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722463 (or 722459 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 112210200122120 its reverse (21221002012211), we get a palindrome (133431202134331).

The spelling of 112210200122120 in words is "one hundred twelve trillion, two hundred ten billion, two hundred million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 59 82 118 164 205 236 295 328 410 472 590 820 1180 1609 1640 2360 2419 3218 4838 6436 8045 9676 12095 12872 16090 19352 24190 32180 48380 64360 65969 94931 96760 131938 189862 263876 329845 379724 474655 527752 659690 720743 759448 949310 1319380 1441486 1898620 2638760 2882972 3603715 3797240 3892171 5765944 7207430 7784342 14414860 15568684 19460855 28829720 29550463 31137368 38921710 42523837 59100926 77843420 85047674 118201852 147752315 155686840 170095348 212619185 236403704 295504630 340190696 425238370 591009260 850476740 1159675487 1182018520 1700953480 1743477317 2319350974 3486954634 4638701948 5798377435 6973909268 8717386585 9277403896 11596754870 13947818536 17434773170 23193509740 34869546340 46387019480 47546694967 68420853733 69739092680 95093389934 136841707466 190186779868 237733474835 273683414932 342104268665 380373559736 475466949670 547366829864 684208537330 950933899340 1368417074660 1901867798680 2736834149320 2805255003053 5610510006106 11221020012212 14026275015265 22442040024424 28052550030530 56105100061060 112210200122120