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1222200102000 = 24353233874249
BaseRepresentation
bin10001110010010000110…
…011011000110001110000
311022211201020010010210110
4101302100303120301300
5130011031211231000
62333245421501320
7154205154312333
oct21622063306160
94284636103713
101222200102000
11431372105329
12178a54411840
138b339a2b537
1443224ab661a
1521bd3b93850
hex11c90cd8c70

1222200102000 has 160 divisors (see below), whose sum is σ = 3957289128000. Its totient is φ = 324520857600.

The previous prime is 1222200101977. The next prime is 1222200102029. The reversal of 1222200102000 is 2010022221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 960876 + ... + 1835124.

It is an arithmetic number, because the mean of its divisors is an integer number (24733057050).

Almost surely, 21222200102000 is an apocalyptic number.

1222200102000 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 1222200102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978644564000).

1222200102000 is an abundant number, since it is smaller than the sum of its proper divisors (2735089026000).

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

1222200102000 is a wasteful number, since it uses less digits than its factorization.

1222200102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874508 (or 874492 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1222200102000 its reverse (2010022221), we get a palindrome (1224210124221).

The spelling of 1222200102000 in words is "one trillion, two hundred twenty-two billion, two hundred million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 233 240 250 300 375 400 466 500 600 699 750 932 1000 1165 1200 1398 1500 1864 2000 2330 2796 3000 3495 3728 4660 5592 5825 6000 6990 9320 11184 11650 13980 17475 18640 23300 27960 29125 34950 46600 55920 58250 69900 87375 93200 116500 139800 174750 233000 279600 349500 466000 699000 874249 1398000 1748498 2622747 3496996 4371245 5245494 6993992 8742490 10490988 13113735 13987984 17484980 20981976 21856225 26227470 34969960 41963952 43712450 52454940 65568675 69939920 87424900 104909880 109281125 131137350 174849800 203700017 209819760 218562250 262274700 327843375 349699600 407400034 437124500 524549400 611100051 655686750 814800068 874249000 1018500085 1049098800 1222200102 1311373500 1629600136 1748498000 2037000170 2444400204 2622747000 3055500255 3259200272 4074000340 4888800408 5092500425 5245494000 6111000510 8148000680 9777600816 10185000850 12222001020 15277501275 16296001360 20370001700 24444002040 25462502125 30555002550 40740003400 48888004080 50925004250 61110005100 76387506375 81480006800 101850008500 122220010200 152775012750 203700017000 244440020400 305550025500 407400034000 611100051000 1222200102000