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12221122222120 = 2357101751575429
BaseRepresentation
bin1011000111010111001110…
…1001100001100000101000
31121021022212000112211212211
42301311303221201200220
53100212324242101440
641554150034414504
72400642541622020
oct261656351414050
947238760484784
1012221122222120
113991a48988119
121454651131434
136a85a6a48036
1430371102aa80
15162d758d5eea
hexb1d73a61828

12221122222120 has 128 divisors (see below), whose sum is σ = 31779203558400. Its totient is φ = 4143081600000.

The previous prime is 12221122222103. The next prime is 12221122222247. The reversal of 12221122222120 is 2122222112221.

It is a junction number, because it is equal to n+sod(n) for n = 12221122222091 and 12221122222100.

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, 20950566 + ... + 21525994.

It is an arithmetic number, because the mean of its divisors is an integer number (248275027800).

Almost surely, 212221122222120 is an apocalyptic number.

12221122222120 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 12221122222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15889601779200).

12221122222120 is an abundant number, since it is smaller than the sum of its proper divisors (19558081336280).

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

12221122222120 is a wasteful number, since it uses less digits than its factorization.

12221122222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576299 (or 576295 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 12221122222120 its reverse (2122222112221), we get a palindrome (14343344334341).

The spelling of 12221122222120 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 280 404 505 707 751 808 1010 1414 1502 2020 2828 3004 3535 3755 4040 5257 5656 6008 7070 7510 10514 14140 15020 21028 26285 28280 30040 42056 52570 75851 105140 151702 210280 303404 379255 530957 575429 606808 758510 1061914 1150858 1517020 2123828 2301716 2654785 2877145 3034040 4028003 4247656 4603432 5309570 5754290 8056006 10619140 11508580 16112012 20140015 21238280 23017160 32224024 40280030 58118329 80560060 116236658 161120120 232473316 290591645 406828303 432147179 464946632 581183290 813656606 864294358 1162366580 1627313212 1728588716 2034141515 2160735895 2324733160 3025030253 3254626424 3457177432 4068283030 4321471790 6050060506 8136566060 8642943580 12100121012 15125151265 16273132120 17285887160 24200242024 30250302530 43646865079 60500605060 87293730158 121001210120 174587460316 218234325395 305528055553 349174920632 436468650790 611056111106 872937301580 1222112222212 1527640277765 1745874603160 2444224444424 3055280555530 6110561111060 12221122222120