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12000122202200 = 23521131175954871
BaseRepresentation
bin1010111010011111111100…
…0001010110100001011000
31120111012102011000121200212
42232213333001112201120
53033102222240432300
641304440253150252
72345660133505106
oct256477701264130
946435364017625
1012000122202200
113907250160160
12141985478b388
136907b6b07c92
142d6b47d0cc76
1515c23da0d935
hexae9ff056858

12000122202200 has 96 divisors (see below), whose sum is σ = 31418501944320. Its totient is φ = 4222916880000.

The previous prime is 12000122202191. The next prime is 12000122202223. The reversal of 12000122202200 is 220222100021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87909236 + ... + 88045635.

It is an arithmetic number, because the mean of its divisors is an integer number (327276061920).

Almost surely, 212000122202200 is an apocalyptic number.

12000122202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000122202200 is an abundant number, since it is smaller than the sum of its proper divisors (19418379742120).

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

12000122202200 is a wasteful number, since it uses less digits than its factorization.

12000122202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175954929 (or 175954920 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12000122202200 its reverse (220222100021), we get a palindrome (12220344302221).

The spelling of 12000122202200 in words is "twelve trillion, one hundred twenty-two million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 155 200 220 248 275 310 341 440 550 620 682 775 1100 1240 1364 1550 1705 2200 2728 3100 3410 6200 6820 8525 13640 17050 34100 68200 175954871 351909742 703819484 879774355 1407638968 1759548710 1935503581 3519097420 3871007162 4398871775 5454601001 7038194840 7742014324 8797743550 9677517905 10909202002 15484028648 17595487100 19355035810 21818404004 27273005005 35190974200 38710071620 43636808008 48387589525 54546010010 60000611011 77420143240 96775179050 109092020020 120001222022 136365025025 193550358100 218184040040 240002444044 272730050050 300003055055 387100716200 480004888088 545460100100 600006110110 1090920200200 1200012220220 1500015275275 2400024440440 3000030550550 6000061101100 12000122202200