Search a number
-
+
12002210112 = 2634111811291
BaseRepresentation
bin10110010110110001…
…10011000101000000
31010222110021110001110
423023120303011000
5144040031210422
65302545003320
7603266050134
oct131330630500
933873243043
1012002210112
1150a9a31112
1223ab623540
131193759799
1481c0353c4
154a3a5a60c
hex2cb633140

12002210112 has 112 divisors (see below), whose sum is σ = 32583144384. Its totient is φ = 3896832000.

The previous prime is 12002210089. The next prime is 12002210117. The reversal of 12002210112 is 21101220021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002210117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9296187 + ... + 9297477.

It is an arithmetic number, because the mean of its divisors is an integer number (290920932).

Almost surely, 212002210112 is an apocalyptic number.

12002210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16291572192).

12002210112 is an abundant number, since it is smaller than the sum of its proper divisors (20580934272).

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

12002210112 is a wasteful number, since it uses less digits than its factorization.

12002210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12002210112 its reverse (21101220021), we get a palindrome (33103430133).

Subtracting 12002210112 from its reverse (21101220021), we obtain a palindrome (9099009909).

The spelling of 12002210112 in words is "twelve billion, two million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1181 1291 1312 1968 2362 2582 2624 3543 3873 3936 4724 5164 7086 7746 7872 9448 10328 14172 15492 18896 20656 28344 30984 37792 41312 48421 52931 56688 61968 75584 82624 96842 105862 113376 123936 145263 158793 193684 211724 226752 247872 290526 317586 387368 423448 581052 635172 774736 846896 1162104 1270344 1524671 1549472 1693792 2324208 2540688 3049342 3098944 3387584 4574013 4648416 5081376 6098684 9148026 9296832 10162752 12197368 18296052 24394736 36592104 48789472 62511511 73184208 97578944 125023022 146368416 187534533 250046044 292736832 375069066 500092088 750138132 1000184176 1500276264 2000368352 3000552528 4000736704 6001105056 12002210112