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22001222000112 = 2434315716785173
BaseRepresentation
bin1010000000010100011110…
…00001011001110111110000
32212220021222222201101122020
411000022033001121313300
510340432000313000422
6114443115530511440
74430351535244335
oct500121701316760
985807888641566
1022001222000112
117012736280673
122573b98895580
13c37924a731a4
14560c1712698c
1528248029795c
hex14028f059df0

22001222000112 has 80 divisors (see below), whose sum is σ = 58195297488768. Its totient is φ = 7158627866880.

The previous prime is 22001222000083. The next prime is 22001222000203. The reversal of 22001222000112 is 21100022210022.

It is a junction number, because it is equal to n+sod(n) for n = 22001222000091 and 22001222000100.

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, 150043 + ... + 6635130.

Almost surely, 222001222000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22001222000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29097648744384).

22001222000112 is an abundant number, since it is smaller than the sum of its proper divisors (36194075488656).

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

22001222000112 is a wasteful number, since it uses less digits than its factorization.

22001222000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6786798 (or 6786792 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22001222000112 its reverse (21100022210022), we get a palindrome (43101244210134).

The spelling of 22001222000112 in words is "twenty-two trillion, one billion, two hundred twenty-two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 1571 2064 3142 4713 6284 9426 12568 18852 25136 37704 67553 75408 135106 202659 270212 405318 540424 810636 1080848 1621272 3242544 6785173 13570346 20355519 27140692 40711038 54281384 81422076 108562768 162844152 291762439 325688304 583524878 875287317 1167049756 1750574634 2334099512 3501149268 4668199024 7002298536 10659506783 14004597072 21319013566 31978520349 42638027132 63957040698 85276054264 127914081396 170552108528 255828162792 458358791669 511656325584 916717583338 1375076375007 1833435166676 2750152750014 3666870333352 5500305500028 7333740666704 11000611000056 22001222000112