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1122210022122 = 2327191182325579
BaseRepresentation
bin10000010101001000111…
…011100000001011101010
310222021121202010210101200
4100111020323200023222
5121341241231201442
62215311451225030
7144035260541430
oct20251073401352
93867552123350
101122210022122
113a2a21335382
121615a9a48176
1381a932b31b7
143c45b0b8d50
151e2d076834c
hex10548ee02ea

1122210022122 has 96 divisors (see below), whose sum is σ = 2794996039680. Its totient is φ = 318765313440.

The previous prime is 1122210022121. The next prime is 1122210022133. The reversal of 1122210022122 is 2212200122211.

It is a happy number.

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 = 1122210022095 and 1122210022104.

It is not an unprimeable number, because it can be changed into a prime (1122210022121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43859529 + ... + 43885107.

It is an arithmetic number, because the mean of its divisors is an integer number (29114542080).

Almost surely, 21122210022122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122210022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397498019840).

1122210022122 is an abundant number, since it is smaller than the sum of its proper divisors (1672786017558).

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

1122210022122 is a wasteful number, since it uses less digits than its factorization.

1122210022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27608 (or 27605 counting only the distinct ones).

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

Adding to 1122210022122 its reverse (2212200122211), we get a palindrome (3334410144333).

The spelling of 1122210022122 in words is "one trillion, one hundred twenty-two billion, two hundred ten million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 191 382 573 1146 1337 1719 1823 2674 3438 3646 4011 5469 8022 10938 12033 12761 16407 24066 25522 25579 32814 38283 51158 76566 76737 114849 153474 179053 229698 230211 348193 358106 460422 537159 696386 1044579 1074318 1611477 2089158 2437351 3133737 3222954 4874702 4885589 6267474 7312053 9771178 14624106 14656767 21936159 29313534 34199123 43872318 43970301 46630517 68398246 87940602 93261034 102597369 139891551 205194738 279783102 307792107 326413619 419674653 615584214 652827238 839349306 979240857 1958481714 2937722571 5875445142 8906428747 17812857494 26719286241 53438572482 62345001229 80157858723 124690002458 160315717446 187035003687 374070007374 561105011061 1122210022122