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11221222000122 = 232101107173333439
BaseRepresentation
bin1010001101001010010011…
…1100111000010111111010
31110201201221020212200002100
42203102210330320113322
52432322030313000442
635510542550444230
72235464225151651
oct243224474702772
943651836780070
1011221222000122
113636991311992
1213128b8663676
13635206345c44
142ab177d58198
15146d52ccd84c
hexa34a4f385fa

11221222000122 has 96 divisors (see below), whose sum is σ = 24926165821440. Its totient is φ = 3647544969600.

The previous prime is 11221222000097. The next prime is 11221222000127. The reversal of 11221222000122 is 22100022212211.

It is a happy number.

11221222000122 is a `hidden beast` number, since 112 + 212 + 220 + 0 + 0 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11221222000095 and 11221222000104.

It is not an unprimeable number, because it can be changed into a prime (11221222000127) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 33486279 + ... + 33819717.

It is an arithmetic number, because the mean of its divisors is an integer number (259647560640).

Almost surely, 211221222000122 is an apocalyptic number.

11221222000122 is an abundant number, since it is smaller than the sum of its proper divisors (13704943821318).

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

11221222000122 is a wasteful number, since it uses less digits than its factorization.

11221222000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333828 (or 333825 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11221222000122 its reverse (22100022212211), we get a palindrome (33321244212333).

The spelling of 11221222000122 in words is "eleven trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 101 107 173 202 214 303 321 346 519 606 642 909 963 1038 1557 1818 1926 3114 10807 17473 18511 21614 32421 34946 37022 52419 55533 64842 97263 104838 111066 157257 166599 194526 314514 333198 333439 666878 1000317 1869611 2000634 3000951 3739222 5608833 6001902 11217666 16826499 33652998 33677339 35677973 57684947 67354678 71355946 101032017 107033919 115369894 173054841 202064034 214067838 303096051 321101757 346109682 519164523 606192102 642203514 1038329046 3603475273 5826179647 6172289329 7206950546 10810425819 11652359294 12344578658 17478538941 18516867987 21620851638 32431277457 34957077882 37033735974 52435616823 55550603961 64862554914 104871233646 111101207922 623401222229 1246802444458 1870203666687 3740407333374 5610611000061 11221222000122