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11122000120220 = 22511199209288931
BaseRepresentation
bin1010000111011000101011…
…0111011100100110011100
31110101020211022101220221112
42201312022313130212130
52424210324012321340
635353213141321152
72225352350121113
oct241661267344634
943336738356845
1011122000120220
1135a88a5132a50
1212b76274061b8
13628a52ac83c2
142a64443a8c7a
15144497048065
hexa1d8addc99c

11122000120220 has 96 divisors (see below), whose sum is σ = 26823522297600. Its totient is φ = 3831073113600.

The previous prime is 11122000120181. The next prime is 11122000120249. The reversal of 11122000120220 is 2202100022111.

It is a junction number, because it is equal to n+sod(n) for n = 11122000120195 and 11122000120204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38349155 + ... + 38638085.

It is an arithmetic number, because the mean of its divisors is an integer number (279411690600).

Almost surely, 211122000120220 is an apocalyptic number.

11122000120220 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 11122000120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13411761148800).

11122000120220 is an abundant number, since it is smaller than the sum of its proper divisors (15701522177380).

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

11122000120220 is a wasteful number, since it uses less digits than its factorization.

11122000120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298179 (or 298177 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11122000120220 its reverse (2202100022111), we get a palindrome (13324100142331).

The spelling of 11122000120220 in words is "eleven trillion, one hundred twenty-two billion, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 9209 18418 36836 46045 92090 101299 174971 184180 202598 288931 349942 405196 506495 577862 699884 874855 1012990 1155724 1444655 1749710 1924681 2025980 2889310 3178241 3499420 3849362 5489689 5778620 6356482 7698724 9623405 10979378 12712964 15891205 19246810 21958756 27448445 31782410 38493620 54896890 60386579 63564820 109793780 120773158 241546316 301932895 603865790 1207731580 2660765579 5321531158 10643062316 13303827895 26607655790 29268421369 50554546001 53215311580 58536842738 101109092002 117073685476 146342106845 202218184004 252772730005 292684213690 505545460010 556100006011 585368427380 1011090920020 1112200012022 2224400024044 2780500030055 5561000060110 11122000120220