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12022030224 = 24321133971861
BaseRepresentation
bin10110011001001000…
…11001111110010000
31011000211120102010200
423030210121332100
5144110114431344
65304533455200
7603626366541
oct131444317620
934024512120
1012022030224
11510a139276
1223b61a1500
1311978a9069
148209144c8
154a5673069
hex2cc919f90

12022030224 has 120 divisors (see below), whose sum is σ = 34046513592. Its totient is φ = 3959746560.

The previous prime is 12022030217. The next prime is 12022030231. The reversal of 12022030224 is 42203022021.

12022030224 is a `hidden beast` number, since 120 + 220 + 302 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (12022030217) and next prime (12022030231).

It can be written as a sum of positive squares in 4 ways, for example, as 587577600 + 11434452624 = 24240^2 + 106932^2 .

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 = 12022030197 and 12022030206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6459054 + ... + 6460914.

Almost surely, 212022030224 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 12022030224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17023256796).

12022030224 is an abundant number, since it is smaller than the sum of its proper divisors (22024483368).

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

12022030224 is a wasteful number, since it uses less digits than its factorization.

12022030224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12022030224 its reverse (42203022021), we get a palindrome (54225052245).

The spelling of 12022030224 in words is "twelve billion, twenty-two million, thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 397 452 678 794 904 1017 1191 1356 1588 1808 1861 2034 2382 2712 3176 3573 3722 4068 4764 5424 5583 6352 7146 7444 8136 9528 11166 14292 14888 16272 16749 19056 22332 28584 29776 33498 44664 44861 57168 66996 89328 89722 133992 134583 179444 210293 267984 269166 358888 403749 420586 538332 630879 717776 738817 807498 841172 1076664 1261758 1477634 1614996 1682344 1892637 2153328 2216451 2523516 2955268 3229992 3364688 3785274 4432902 5047032 5910536 6459984 6649353 7570548 8865804 10094064 11821072 13298706 15141096 17731608 26597412 30282192 35463216 53194824 83486321 106389648 166972642 250458963 333945284 500917926 667890568 751376889 1001835852 1335781136 1502753778 2003671704 3005507556 4007343408 6011015112 12022030224