Search a number
-
+
12002022168 = 23317414331657
BaseRepresentation
bin10110010110110000…
…00101001100011000
31010222102220220020120
423023120011030120
5144040004202133
65302540553240
7603264335163
oct131330051430
933872826216
1012002022168
1150a9912994
1223ab552820
1311936c2086
1481bdc6ada
154a3a1eab3
hex2cb605318

12002022168 has 128 divisors (see below), whose sum is σ = 32639785920. Its totient is φ = 3662807040.

The previous prime is 12002022143. The next prime is 12002022233. The reversal of 12002022168 is 86122020021.

It is a super-2 number, since 2×120020221682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7242396 + ... + 7244052.

Almost surely, 212002022168 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 12002022168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16319892960).

12002022168 is an abundant number, since it is smaller than the sum of its proper divisors (20637763752).

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

12002022168 is a wasteful number, since it uses less digits than its factorization.

12002022168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12002022168 its reverse (86122020021), we get a palindrome (98124042189).

The spelling of 12002022168 in words is "twelve billion, two million, twenty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 68 82 102 123 136 164 204 246 328 408 433 492 697 866 984 1299 1394 1657 1732 2091 2598 2788 3314 3464 4182 4971 5196 5576 6628 7361 8364 9942 10392 13256 14722 16728 17753 19884 22083 28169 29444 35506 39768 44166 53259 56338 58888 67937 71012 84507 88332 106518 112676 135874 142024 169014 176664 203811 213036 225352 271748 301801 338028 407622 426072 543496 603602 676056 717481 815244 905403 1154929 1207204 1434962 1630488 1810806 2152443 2309858 2414408 2869924 3464787 3621612 4304886 4619716 5739848 6929574 7243224 8609772 9239432 12197177 13859148 17219544 24394354 27718296 29416721 36591531 48788708 58833442 73183062 88250163 97577416 117666884 146366124 176500326 235333768 292732248 353000652 500084257 706001304 1000168514 1500252771 2000337028 3000505542 4000674056 6001011084 12002022168