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22012240122 = 2323140996451
BaseRepresentation
bin10100100000000010…
…000010000011111010
32002211001220122202200
4110200002002003322
5330040113140442
614040130411030
71406324645115
oct244002020372
962731818680
1022012240122
119376376894
124323a30a76
1320ca549372
1410cb64957c
1588c74a34c
hex5200820fa

22012240122 has 48 divisors (see below), whose sum is σ = 49352559360. Its totient is φ = 7083288000.

The previous prime is 22012240049. The next prime is 22012240157. The reversal of 22012240122 is 22104221022.

22012240122 is a `hidden beast` number, since 220 + 1 + 22 + 401 + 22 = 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 = 22012240095 and 22012240104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179997 + ... + 276447.

It is an arithmetic number, because the mean of its divisors is an integer number (1028178320).

Almost surely, 222012240122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22012240122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24676279680).

22012240122 is an abundant number, since it is smaller than the sum of its proper divisors (27340319238).

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

22012240122 is a wasteful number, since it uses less digits than its factorization.

22012240122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96899 (or 96896 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22012240122 its reverse (22104221022), we get a palindrome (44116461144).

The spelling of 22012240122 in words is "twenty-two billion, twelve million, two hundred forty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 409 558 818 1227 2454 3681 7362 12679 25358 38037 76074 96451 114111 192902 228222 289353 578706 868059 1736118 2989981 5979962 8969943 17939886 26909829 39448459 53819658 78896918 118345377 236690754 355036131 710072262 1222902229 2445804458 3668706687 7337413374 11006120061 22012240122