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112001212121000 = 23534122871194463
BaseRepresentation
bin11001011101110101010000…
…011101100111111110101000
3112200120012201001012202111112
4121131311100131213332220
5104140011440300333000
61034112351352445452
732406551306055236
oct3135652035477650
9480505631182445
10112001212121000
11327614a1416474
121068a7033a9888
134a658909b2097
141d92c5d797956
15ce361dd22235
hex65dd50767fa8

112001212121000 has 128 divisors (see below), whose sum is σ = 268592717352960. Its totient is φ = 43688642112000.

The previous prime is 112001212120999. The next prime is 112001212121021. The reversal of 112001212121000 is 121212100211.

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, 93169769 + ... + 94364231.

It is an arithmetic number, because the mean of its divisors is an integer number (2098380604320).

Almost surely, 2112001212121000 is an apocalyptic number.

112001212121000 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 112001212121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134296358676480).

112001212121000 is an abundant number, since it is smaller than the sum of its proper divisors (156591505231960).

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

112001212121000 is a wasteful number, since it uses less digits than its factorization.

112001212121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196812 (or 1196798 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112001212121000 its reverse (121212100211), we get a palindrome (112122424221211).

The spelling of 112001212121000 in words is "one hundred twelve trillion, one billion, two hundred twelve million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1640 2050 2287 4100 4574 5125 8200 9148 10250 11435 18296 20500 22870 41000 45740 57175 91480 93767 114350 187534 228700 285875 375068 457400 468835 571750 750136 937670 1143500 1194463 1875340 2287000 2344175 2388926 3750680 4688350 4777852 5972315 9376700 9555704 11720875 11944630 18753400 23441750 23889260 29861575 46883500 47778520 48972983 59723150 93767000 97945966 119446300 149307875 195891932 238892600 244864915 298615750 391783864 489729830 597231500 979459660 1194463000 1224324575 1958919320 2448649150 2731736881 4897298300 5463473762 6121622875 9794596600 10926947524 12243245750 13658684405 21853895048 24486491500 27317368810 48972983000 54634737620 68293422025 109269475240 112001212121 136586844050 224002424242 273173688100 341467110125 448004848484 546347376200 560006060605 682934220250 896009696968 1120012121210 1365868440500 2240024242420 2731736881000 2800030303025 4480048484840 5600060606050 11200121212100 14000151515125 22400242424200 28000303030250 56000606060500 112001212121000