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12110321024 = 271632632207
BaseRepresentation
bin10110100011101010…
…01101010110000000
31011020222201001100022
423101311031112000
5144300220233044
65321410113012
7606051013244
oct132165152600
934228631308
1012110321024
115154a6247a
12241b87b768
1311acc80039
1482c538424
154ad2b33ee
hex2d1d4d580

12110321024 has 64 divisors (see below), whose sum is σ = 24377379840. Its totient is φ = 5992413696.

The previous prime is 12110321017. The next prime is 12110321053. The reversal of 12110321024 is 42012301121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12110320993 and 12110321011.

It is a congruent number.

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, 5486129 + ... + 5488335.

It is an arithmetic number, because the mean of its divisors is an integer number (380896560).

Almost surely, 212110321024 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 12110321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12188689920).

12110321024 is an abundant number, since it is smaller than the sum of its proper divisors (12267058816).

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

12110321024 is a wasteful number, since it uses less digits than its factorization.

12110321024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12110321024 its reverse (42012301121), we get a palindrome (54122622145).

The spelling of 12110321024 in words is "twelve billion, one hundred ten million, three hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 163 263 326 526 652 1052 1304 2104 2207 2608 4208 4414 5216 8416 8828 10432 16832 17656 20864 33664 35312 42869 70624 85738 141248 171476 282496 342952 359741 580441 685904 719482 1160882 1371808 1438964 2321764 2743616 2877928 4643528 5487232 5755856 9287056 11511712 18574112 23023424 37148224 46046848 74296448 94611883 189223766 378447532 756895064 1513790128 3027580256 6055160512 12110321024