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12202112120 = 23511311735171
BaseRepresentation
bin10110101110100110…
…10111010001111000
31011111101102112001112
423113103113101320
5144442220041440
65334445335452
7611244145622
oct132723272170
934441375045
1012202112120
1151a1857490
122446567588
1311c5cab2b3
1483a7cdc12
154b6395965
hex2d74d7478

12202112120 has 128 divisors (see below), whose sum is σ = 31101511680. Its totient is φ = 4268352000.

The previous prime is 12202112119. The next prime is 12202112141. The reversal of 12202112120 is 2121120221.

It is a junction number, because it is equal to n+sod(n) for n = 12202112095 and 12202112104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2357135 + ... + 2362305.

It is an arithmetic number, because the mean of its divisors is an integer number (242980560).

Almost surely, 212202112120 is an apocalyptic number.

12202112120 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 12202112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15550755840).

12202112120 is an abundant number, since it is smaller than the sum of its proper divisors (18899399560).

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

12202112120 is a wasteful number, since it uses less digits than its factorization.

12202112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5397 (or 5393 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12202112120 its reverse (2121120221), we get a palindrome (14323232341).

The spelling of 12202112120 in words is "twelve billion, two hundred two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 173 220 248 310 341 346 440 620 682 692 865 1240 1364 1384 1705 1730 1903 2728 3410 3460 3806 5171 5363 6820 6920 7612 9515 10342 10726 13640 15224 19030 20684 21452 25855 26815 38060 41368 42904 51710 53630 56881 58993 76120 103420 107260 113762 117986 160301 206840 214520 227524 235972 284405 294965 320602 455048 471944 568810 589930 641204 801505 894583 1137620 1179860 1282408 1603010 1763311 1789166 2275240 2359720 3206020 3526622 3578332 4472915 6412040 7053244 7156664 8816555 8945830 9840413 14106488 17633110 17891660 19680826 27732073 35266220 35783320 39361652 49202065 55464146 70532440 78723304 98404130 110928292 138660365 196808260 221856584 277320730 305052803 393616520 554641460 610105606 1109282920 1220211212 1525264015 2440422424 3050528030 6101056060 12202112120