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120012221222200 = 235217312232836109
BaseRepresentation
bin11011010010011010000101…
…110100001000110100111000
3120201221001112001011110002201
4123102122011310020310320
5111212240012113102300
61103124504152035544
734164411501644446
oct3322320564106470
9521831461143081
10120012221222200
113526a99619334a
121156320a092bb4
1351c71473692b8
14218c8a01d5b96
15dd1bd752366a
hex6d2685d08d38

120012221222200 has 96 divisors (see below), whose sum is σ = 280870863962400. Its totient is φ = 47688361909760.

The previous prime is 120012221222191. The next prime is 120012221222209. The reversal of 120012221222200 is 2222122210021.

It is an interprime number because it is at equal distance from previous prime (120012221222191) and next prime (120012221222209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120012221222209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40897746 + ... + 43733854.

It is an arithmetic number, because the mean of its divisors is an integer number (2925738166275).

Almost surely, 2120012221222200 is an apocalyptic number.

120012221222200 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 120012221222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140435431981200).

120012221222200 is an abundant number, since it is smaller than the sum of its proper divisors (160858642740200).

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

120012221222200 is a wasteful number, since it uses less digits than its factorization.

120012221222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837521 (or 2837512 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 120012221222200 its reverse (2222122210021), we get a palindrome (122234343432221).

The spelling of 120012221222200 in words is "one hundred twenty trillion, twelve billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 173 200 346 692 865 1223 1384 1730 2446 3460 4325 4892 6115 6920 8650 9784 12230 17300 24460 30575 34600 48920 61150 122300 211579 244600 423158 846316 1057895 1692632 2115790 2836109 4231580 5289475 5672218 8463160 10578950 11344436 14180545 21157900 22688872 28361090 42315800 56722180 70902725 113444360 141805450 283610900 490646857 567221800 981293714 1962587428 2453234285 3468561307 3925174856 4906468570 6937122614 9812937140 12266171425 13874245228 17342806535 19625874280 24532342850 27748490456 34685613070 49064685700 69371226140 86714032675 98129371400 138742452280 173428065350 346856130700 600061106111 693712261400 1200122212222 2400244424444 3000305530555 4800488848888 6000611061110 12001222122220 15001527652775 24002444244440 30003055305550 60006110611100 120012221222200