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11122000111220 = 2251767835882353
BaseRepresentation
bin1010000111011000101011…
…0111011010011001110100
31110101020211022101110121012
42201312022313122121310
52424210324012024340
635353213141211352
72225352350052635
oct241661267323164
943336738343535
1011122000111220
1135a88a5127209
1212b7627400b58
13628a52ac428b
142a64443a588c
15144497045565
hexa1d8adda674

11122000111220 has 96 divisors (see below), whose sum is σ = 25401604572288. Its totient is φ = 4074916995072.

The previous prime is 11122000111219. The next prime is 11122000111249. The reversal of 11122000111220 is 2211100022111.

It is a junction number, because it is equal to n+sod(n) for n = 11122000111195 and 11122000111204.

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, 1050437 + ... + 4831916.

It is an arithmetic number, because the mean of its divisors is an integer number (264600047628).

Almost surely, 211122000111220 is an apocalyptic number.

11122000111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122000111220 is an abundant number, since it is smaller than the sum of its proper divisors (14279604461068).

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

11122000111220 is a wasteful number, since it uses less digits than its factorization.

11122000111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882529 (or 5882527 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11122000111220 its reverse (2211100022111), we get a palindrome (13333100133331).

It can be divided in two parts, 11122000 and 111220, that multiplied together give a square (1236988840000 = 11122002).

The spelling of 11122000111220 in words is "eleven trillion, one hundred twenty-two billion, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 67 68 83 85 134 166 170 268 332 335 340 415 670 830 1139 1340 1411 1660 2278 2822 4556 5561 5644 5695 7055 11122 11390 14110 22244 22780 27805 28220 55610 94537 111220 189074 378148 472685 945370 1890740 5882353 11764706 23529412 29411765 58823530 100000001 117647060 200000002 394117651 400000004 488235299 500000005 788235302 976470598 1000000010 1576470604 1952941196 1970588255 2000000020 2441176495 3941176510 4882352990 6700000067 7882353020 8300000083 9764705980 13400000134 16600000166 26800000268 32711765033 33200000332 33500000335 41500000415 65423530066 67000000670 83000000830 130847060132 134000001340 163558825165 166000001660 327117650330 556100005561 654235300660 1112200011122 2224400022244 2780500027805 5561000055610 11122000111220