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12210012022000 = 245313469615847
BaseRepresentation
bin1011000110101101110101…
…1011011110010011110000
31121020021011201202012111111
42301223131123132103300
53100022101034201000
641545111352323104
72400100323522022
oct261533533362360
947207151665444
1012210012022000
113988267521351
1214524703a3494
136a7526048220
14302d79672012
15162925329cba
hexb1add6de4f0

12210012022000 has 80 divisors (see below), whose sum is σ = 31794871372992. Its totient is φ = 4508312121600.

The previous prime is 12210012021967. The next prime is 12210012022007. The reversal of 12210012022000 is 22021001221.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210012022007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234781924 + ... + 234833923.

Almost surely, 212210012022000 is an apocalyptic number.

12210012022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210012022000 is an abundant number, since it is smaller than the sum of its proper divisors (19584859350992).

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

12210012022000 is a wasteful number, since it uses less digits than its factorization.

12210012022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469615883 (or 469615867 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12210012022000 its reverse (22021001221), we get a palindrome (12232033023221).

The spelling of 12210012022000 in words is "twelve trillion, two hundred ten billion, twelve million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 469615847 939231694 1878463388 2348079235 3756926776 4696158470 6105006011 7513853552 9392316940 11740396175 12210012022 18784633880 23480792350 24420024044 30525030055 37569267760 46961584700 48840048088 58701980875 61050060110 93923169400 97680096176 117403961750 122100120220 152625150275 187846338800 234807923500 244200240440 305250300550 469615847000 488400480880 610500601100 763125751375 939231694000 1221001202200 1526251502750 2442002404400 3052503005500 6105006011000 12210012022000