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122011221000200 = 23527268332482621
BaseRepresentation
bin11011101111011111110011…
…011111001000000000001000
3121000000011021202220202102112
4123233133303133020000020
5111443012440034001300
61111255103042521452
734462006540465430
oct3357376337100010
9530004252822375
10122011221000200
1135970739479584
1211826713066288
1353107bb61641c
14221b535cbb2c0
15e18bd27c8e35
hex6ef7f37c8008

122011221000200 has 96 divisors (see below), whose sum is σ = 324322089706560. Its totient is φ = 41816825683200.

The previous prime is 122011221000187. The next prime is 122011221000211. The reversal of 122011221000200 is 2000122110221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12485111 + ... + 19997510.

It is an arithmetic number, because the mean of its divisors is an integer number (3378355101110).

Almost surely, 2122011221000200 is an apocalyptic number.

122011221000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122011221000200 is an abundant number, since it is smaller than the sum of its proper divisors (202310868706360).

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

122011221000200 is a wasteful number, since it uses less digits than its factorization.

122011221000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32485327 (or 32485318 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122011221000200 its reverse (2000122110221), we get a palindrome (124011343110421).

The spelling of 122011221000200 in words is "one hundred twenty-two trillion, eleven billion, two hundred twenty-one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 2683 5366 10732 13415 18781 21464 26830 37562 53660 67075 75124 93905 107320 134150 150248 187810 268300 375620 469525 536600 751240 939050 1878100 3756200 32482621 64965242 129930484 162413105 227378347 259860968 324826210 454756694 649652420 812065525 909513388 1136891735 1299304840 1624131050 1819026776 2273783470 3248262100 4547566940 5684458675 6496524200 9095133880 11368917350 22737834700 45475669400 87150872143 174301744286 348603488572 435754360715 610056105001 697206977144 871508721430 1220112210002 1743017442860 2178771803575 2440224420004 3050280525005 3486034885720 4357543607150 4880448840008 6100561050010 8715087214300 12201122100020 15251402625025 17430174428600 24402244200040 30502805250050 61005610500100 122011221000200