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12000110994 = 23217413569
BaseRepresentation
bin10110010110100001…
…10010100110010010
31010222022022210121100
423023100302212102
5144034012022434
65302432005230
7603242155224
oct131320624622
933868283540
1012000110994
1150a8828003
1223aa990816
1311931a31c1
1481ba4a414
154a3793699
hex2cb432992

12000110994 has 96 divisors (see below), whose sum is σ = 28267490160. Its totient is φ = 3666462720.

The previous prime is 12000110971. The next prime is 12000111037. The reversal of 12000110994 is 49901100021.

It can be written as a sum of positive squares in 8 ways, for example, as 2651735025 + 9348375969 = 51495^2 + 96687^2 .

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21089542 + ... + 21090110.

Almost surely, 212000110994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000110994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14133745080).

12000110994 is an abundant number, since it is smaller than the sum of its proper divisors (16267379166).

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

12000110994 is an equidigital number, since it uses as much as digits as its factorization.

12000110994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 12000110994 in words is "twelve billion, one hundred ten thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 34 41 51 82 102 123 153 246 306 369 569 697 738 1138 1394 1681 1707 2091 3362 3414 4182 5043 5121 6273 9673 10086 10242 12546 15129 19346 23329 28577 29019 30258 46658 57154 58038 68921 69987 85731 87057 137842 139974 171462 174114 206763 209961 257193 396593 413526 419922 514386 620289 793186 956489 1171657 1189779 1240578 1912978 2343314 2379558 2869467 3514971 3569337 5738934 7029942 7138674 8608401 10544913 16260313 17216802 21089826 32520626 39216049 48780939 78432098 97561878 117648147 146342817 235296294 292685634 352944441 666672833 705888882 1333345666 2000018499 4000036998 6000055497 12000110994