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12290433024 = 21331926321
BaseRepresentation
bin10110111001001000…
…10010000000000000
31011201112121200120010
423130210102000000
5200132322324044
65351322344520
7613365646152
oct133444220000
934645550503
1012290433024
1152376a1271
12247005b140
13120b392b9c
14848420ad2
154bdedebb9
hex2dc912000

12290433024 has 112 divisors (see below), whose sum is σ = 34498666080. Its totient is φ = 3881041920.

The previous prime is 12290433013. The next prime is 12290433031. The reversal of 12290433024 is 42033409221.

It is a junction number, because it is equal to n+sod(n) for n = 12290432982 and 12290433000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453784 + ... + 480104.

Almost surely, 212290433024 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 12290433024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17249333040).

12290433024 is an abundant number, since it is smaller than the sum of its proper divisors (22208233056).

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

12290433024 is an equidigital number, since it uses as much as digits as its factorization.

12290433024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26369 (or 26345 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 12290433024 in words is "twelve billion, two hundred ninety million, four hundred thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2048 2432 3072 3648 4096 4864 6144 7296 8192 9728 12288 14592 19456 24576 26321 29184 38912 52642 58368 77824 78963 105284 116736 155648 157926 210568 233472 315852 421136 466944 500099 631704 842272 1000198 1263408 1500297 1684544 2000396 2526816 3000594 3369088 4000792 5053632 6001188 6738176 8001584 10107264 12002376 13476352 16003168 20214528 24004752 26952704 32006336 40429056 48009504 53905408 64012672 80858112 96019008 107810816 128025344 161716224 192038016 215621632 256050688 323432448 384076032 512101376 646864896 768152064 1024202752 1536304128 2048405504 3072608256 4096811008 6145216512 12290433024