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1120122334404 = 223253297114193
BaseRepresentation
bin10000010011001100011…
…111100110110011000100
310222002020020210021020100
4100103030133212303010
5121323002304200104
62214324353004100
7143632450514343
oct20231437466304
93862206707210
101120122334404
113a204a946727
12161106853630
138181c916518
143c2ddb15b5a
151e20c334139
hex104cc7e6cc4

1120122334404 has 108 divisors (see below), whose sum is σ = 2915627929396. Its totient is φ = 362549551104.

The previous prime is 1120122334393. The next prime is 1120122334447. The reversal of 1120122334404 is 4044332210211.

1120122334404 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 1 + 223 + 34 + 404 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 176702529600 + 943419804804 = 420360^2 + 971298^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9751932 + ... + 9866124.

Almost surely, 21120122334404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120122334404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457813964698).

1120122334404 is an abundant number, since it is smaller than the sum of its proper divisors (1795505594992).

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

1120122334404 is a wasteful number, since it uses less digits than its factorization.

1120122334404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114406 (or 114348 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1120122334404 its reverse (4044332210211), we get a palindrome (5164454544615).

The spelling of 1120122334404 in words is "one trillion, one hundred twenty billion, one hundred twenty-two million, three hundred thirty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 53 97 106 159 194 212 291 318 388 477 582 636 873 954 1164 1746 1908 2809 3492 5141 5618 8427 10282 11236 15423 16854 20564 25281 30846 33708 46269 50562 61692 92538 101124 114193 185076 228386 272473 342579 456772 544946 685158 817419 1027737 1089892 1370316 1634838 2055474 2452257 3269676 4110948 4904514 6052229 9809028 11076721 12104458 18156687 22153442 24208916 33230163 36313374 44306884 54470061 66460326 72626748 99690489 108940122 132920652 199380978 217880244 320768137 398761956 587066213 641536274 962304411 1174132426 1283072548 1761198639 1924608822 2348264852 2886913233 3522397278 3849217644 5283595917 5773826466 7044794556 10567191834 11547652932 21134383668 31114509289 62229018578 93343527867 124458037156 186687055734 280030583601 373374111468 560061167202 1120122334404