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24220120120 = 2357975571601
BaseRepresentation
bin10110100011101000…
…011011010000111000
32022111221102120201221
4112203220123100320
5344100322320440
615043201121424
71515124424050
oct264350332070
968457376657
1024220120120
11a2a96987a9
12483b329274
13238caa9631
14125a978560
1596b4c1d4a
hex5a3a1b438

24220120120 has 128 divisors (see below), whose sum is σ = 63074712960. Its totient is φ = 8198553600.

The previous prime is 24220120081. The next prime is 24220120129. The reversal of 24220120120 is 2102102242.

It is a super-2 number, since 2×242201201202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24220120094 and 24220120103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24220120129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15127320 + ... + 15128920.

It is an arithmetic number, because the mean of its divisors is an integer number (492771195).

Almost surely, 224220120120 is an apocalyptic number.

24220120120 is a gapful number since it is divisible by the number (20) 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 24220120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31537356480).

24220120120 is an abundant number, since it is smaller than the sum of its proper divisors (38854592840).

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

24220120120 is a wasteful number, since it uses less digits than its factorization.

24220120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 24220120120 its reverse (2102102242), we get a palindrome (26322222362).

The spelling of 24220120120 in words is "twenty-four billion, two hundred twenty million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 97 140 194 280 388 485 557 679 776 970 1114 1358 1601 1940 2228 2716 2785 3202 3395 3880 3899 4456 5432 5570 6404 6790 7798 8005 11140 11207 12808 13580 15596 16010 19495 22280 22414 27160 31192 32020 38990 44828 54029 56035 64040 77980 89656 108058 112070 155297 155960 216116 224140 270145 310594 378203 432232 448280 540290 621188 756406 776485 891757 1080580 1087079 1242376 1512812 1552970 1783514 1891015 2161160 2174158 3025624 3105940 3567028 3782030 4348316 4458785 5435395 6211880 6242299 7134056 7564060 8696632 8917570 10870790 12484598 15128120 17835140 21741580 24969196 31211495 35670280 43483160 49938392 62422990 86500429 124845980 173000858 249691960 346001716 432502145 605503003 692003432 865004290 1211006006 1730008580 2422012012 3027515015 3460017160 4844024024 6055030030 12110060060 24220120120