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12210011122000 = 245341914570419
BaseRepresentation
bin1011000110101101110101…
…1000000010100101010000
31121020021011200001110221011
42301223131120002211100
53100022100321401000
641545111321140304
72400100313053066
oct261533530024520
947207150043834
1012210011122000
113988266a6714a
12145247002a694
136a7525ac1693
14302d794ba036
151629251ed2ba
hexb1add602950

12210011122000 has 80 divisors (see below), whose sum is σ = 29594271470400. Its totient is φ = 4872347779200.

The previous prime is 12210011121961. The next prime is 12210011122051. The reversal of 12210011122000 is 22111001221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6447210 + ... + 8123209.

It is an arithmetic number, because the mean of its divisors is an integer number (369928393380).

Almost surely, 212210011122000 is an apocalyptic number.

12210011122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210011122000 is an abundant number, since it is smaller than the sum of its proper divisors (17384260348400).

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

12210011122000 is a wasteful number, since it uses less digits than its factorization.

12210011122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14570861 (or 14570845 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12210011122000 its reverse (22111001221), we get a palindrome (12232122123221).

The spelling of 12210011122000 in words is "twelve trillion, two hundred ten billion, eleven million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 419 500 838 1000 1676 2000 2095 3352 4190 6704 8380 10475 16760 20950 33520 41900 52375 83800 104750 167600 209500 419000 838000 14570419 29140838 58281676 72852095 116563352 145704190 233126704 291408380 364260475 582816760 728520950 1165633520 1457041900 1821302375 2914083800 3642604750 5828167600 6105005561 7285209500 12210011122 14570419000 24420022244 29140838000 30525027805 48840044488 61050055610 97680088976 122100111220 152625139025 244200222440 305250278050 488400444880 610500556100 763125695125 1221001112200 1526251390250 2442002224400 3052502780500 6105005561000 12210011122000