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122221002010220 = 2252311031907126317
BaseRepresentation
bin11011110010100011001011…
…011010001010111001101100
3121000202012202202220020021022
4123302203023122022321230
5112004432103003311340
61111535315253553312
734513114236605561
oct3362431332127154
9530665682806238
10122221002010220
1135a416aa381333
121185b2ba345838
135327511149c99
142227756dd8868
15e1e3ae7a03b5
hex6f28cb68ae6c

122221002010220 has 96 divisors (see below), whose sum is σ = 268208919595008. Its totient is φ = 46695553025792.

The previous prime is 122221002010187. The next prime is 122221002010223. The reversal of 122221002010220 is 22010200122221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122221002010223) 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, 967510502 + ... + 967636818.

It is an arithmetic number, because the mean of its divisors is an integer number (2793842912448).

Almost surely, 2122221002010220 is an apocalyptic number.

122221002010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221002010220 is an abundant number, since it is smaller than the sum of its proper divisors (145987917584788).

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

122221002010220 is a wasteful number, since it uses less digits than its factorization.

122221002010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129359 (or 129357 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122221002010220 its reverse (22010200122221), we get a palindrome (144231202132441).

The spelling of 122221002010220 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, two million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 1103 1907 2206 3814 4412 5515 7628 9535 11030 19070 22060 25369 38140 43861 50738 87722 101476 126317 126845 175444 219305 252634 253690 438610 505268 507380 631585 877220 1263170 2103421 2526340 2905291 4206842 5810582 8413684 10517105 11621164 14526455 21034210 29052910 42068420 48378683 58105820 96757366 139327651 193514732 240886519 241893415 278655302 481773038 483786830 557310604 696638255 963546076 967573660 1204432595 1393276510 2408865190 2786553020 3204535973 4817730380 5540389937 6409071946 11080779874 12818143892 16022679865 22161559748 27701949685 32045359730 55403899370 64090719460 110807798740 265697830457 531395660914 1062791321828 1328489152285 2656978304570 5313956609140 6111050100511 12222100201022 24444200402044 30555250502555 61110501005110 122221002010220