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122221222220 = 225174127132353
BaseRepresentation
bin111000111010011110…
…0111101100101001100
3102200110210210101120002
41301310330331211030
54000302113102340
6132051520543432
711554520150636
oct1616474754514
9380423711502
10122221222220
114791976a269
121b82b781b78
13b6aa439546
145cb6349a56
1532a4eb5715
hex1c74f3d94c

122221222220 has 96 divisors (see below), whose sum is σ = 279426744576. Its totient is φ = 44723404800.

The previous prime is 122221222219. The next prime is 122221222223. The reversal of 122221222220 is 22222122221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122221222192 and 122221222201.

It is not an unprimeable number, because it can be changed into a prime (122221222223) 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, 3761564 + ... + 3793916.

It is an arithmetic number, because the mean of its divisors is an integer number (2910695256).

Almost surely, 2122221222220 is an apocalyptic number.

122221222220 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 122221222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139713372288).

122221222220 is an abundant number, since it is smaller than the sum of its proper divisors (157205522356).

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

122221222220 is a wasteful number, since it uses less digits than its factorization.

122221222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32691 (or 32689 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 122221222220 its reverse (22222122221), we get a palindrome (144443344441).

Subtracting from 122221222220 its reverse (22222122221), we obtain a palindrome (99999099999).

The spelling of 122221222220 in words is "one hundred twenty-two billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 271 340 410 542 697 820 1084 1355 1394 2710 2788 3485 4607 5420 6970 9214 11111 13940 18428 22222 23035 32353 44444 46070 55555 64706 92140 111110 129412 161765 188887 222220 323530 377774 550001 647060 755548 944435 1100002 1326473 1888870 2200004 2652946 2750005 3777740 5305892 5500010 6632365 8767663 11000020 13264730 17535326 22550041 26529460 35070652 43838315 45100082 87676630 90200164 112750205 149050271 175353260 225500410 298100542 359474183 451000820 596201084 718948366 745251355 1437896732 1490502710 1797370915 2981005420 3594741830 6111061111 7189483660 12222122222 24444244444 30555305555 61110611110 122221222220