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221212202212122 = 23113172775882353
BaseRepresentation
bin110010010011000011111010…
…101110111001101100011010
31002000020200100201102021102220
4302103003322232321230122
5212443320042231241442
62102251252140004510
764411024406206062
oct6223037256715432
91060220321367386
10221212202212122
1164537628182000
12209884a6b30736
1396582b4b72274
143c8aa28bc43a2
151a89384ec5eec
hexc930fabb9b1a

221212202212122 has 128 divisors (see below), whose sum is σ = 517119340140288. Its totient is φ = 62863048765440.

The previous prime is 221212202212063. The next prime is 221212202212151.

It is a happy number.

221212202212122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 221212202212092 and 221212202212101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34664898 + ... + 40547250.

It is an arithmetic number, because the mean of its divisors is an integer number (4039994844846).

Almost surely, 2221212202212122 is an apocalyptic number.

221212202212122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221212202212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258559670070144).

221212202212122 is an abundant number, since it is smaller than the sum of its proper divisors (295907137928166).

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

221212202212122 is a wasteful number, since it uses less digits than its factorization.

221212202212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882685 (or 5882663 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 22121220 and 2212122, that added together give a palindrome (24333342).

The spelling of 221212202212122 in words is "two hundred twenty-one trillion, two hundred twelve billion, two hundred two million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 277 363 374 554 561 726 831 1122 1331 1662 2057 2662 3047 3993 4114 4709 6094 6171 7986 9141 9418 12342 14127 18282 22627 28254 33517 45254 51799 67034 67881 100551 103598 135762 155397 201102 310794 368687 569789 737374 1106061 1139578 1709367 2212122 3418734 5882353 6267679 11764706 12535358 17647059 18803037 35294118 37606074 64705883 100000001 129411766 194117649 200000002 300000003 388235298 600000006 711764713 1100000011 1423529426 1629411781 2135294139 2200000022 3258823562 3300000033 4270588278 4888235343 6600000066 7829411843 9776470686 12100000121 15658823686 17923529591 23488235529 24200000242 27700000277 35847059182 36300000363 46976471058 53770588773 55400000554 72600000726 83100000831 107541177546 133100001331 166200001662 197158825501 266200002662 304700003047 394317651002 399300003993 591476476503 609400006094 798600007986 914100009141 1182952953006 1828200018282 2168747080511 3351700033517 4337494161022 6506241241533 6703400067034 10055100100551 13012482483066 20110200201102 36868700368687 73737400737374 110606101106061 221212202212122