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12000023334 = 23213596114249
BaseRepresentation
bin10110010110100000…
…11101001100100110
31010222022011100100200
423023100131030212
5144034001221314
65302430051330
7603241341525
oct131320351446
933868140320
1012000023334
1150a8778162
1223aa949b46
131193172330
1481ba264bc
154a3777709
hex2cb41d326

12000023334 has 96 divisors (see below), whose sum is σ = 28943460000. Its totient is φ = 3569978880.

The previous prime is 12000023333. The next prime is 12000023369. The reversal of 12000023334 is 43332000021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000023333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 835042 + ... + 849290.

It is an arithmetic number, because the mean of its divisors is an integer number (301494375).

Almost surely, 212000023334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000023334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14471730000).

12000023334 is an abundant number, since it is smaller than the sum of its proper divisors (16943436666).

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

12000023334 is a wasteful number, since it uses less digits than its factorization.

12000023334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14390 (or 14387 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12000023334 its reverse (43332000021), we get a palindrome (55332023355).

The spelling of 12000023334 in words is "twelve billion, twenty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 59 61 78 117 118 122 177 183 234 354 366 531 549 767 793 1062 1098 1534 1586 2301 2379 3599 4602 4758 6903 7137 7198 10797 13806 14249 14274 21594 28498 32391 42747 46787 64782 85494 93574 128241 140361 185237 256482 280722 370474 421083 555711 840691 842166 869189 1111422 1667133 1681382 1738378 2522073 2607567 3334266 5044146 5215134 7566219 7822701 10928983 11299457 15132438 15645402 21857966 22598914 32786949 33898371 51282151 65573898 67796742 98360847 101695113 102564302 153846453 196721694 203390226 307692906 461539359 666667963 923078718 1333335926 2000003889 4000007778 6000011667 12000023334