Search a number
-
+
12121233020 = 22513435871847
BaseRepresentation
bin10110100100111101…
…10101011001111100
31011021202020102210022
423102132311121330
5144311013424040
65322440031312
7606242531531
oct132236653174
934252212708
1012121233020
115160135856
122423462538
1311b2300a40
1482db78d88
154ae21b6b5
hex2d27b567c

12121233020 has 96 divisors (see below), whose sum is σ = 28113136128. Its totient is φ = 4361640192.

The previous prime is 12121233011. The next prime is 12121233031. The reversal of 12121233020 is 2033212121.

It is a self number, because there is not a number n which added to its sum of digits gives 12121233020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6561737 + ... + 6563583.

It is an arithmetic number, because the mean of its divisors is an integer number (292845168).

Almost surely, 212121233020 is an apocalyptic number.

12121233020 is a gapful number since it is divisible by the number (10) 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 12121233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14056568064).

12121233020 is an abundant number, since it is smaller than the sum of its proper divisors (15991903108).

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

12121233020 is a wasteful number, since it uses less digits than its factorization.

12121233020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12121233020 its reverse (2033212121), we get a palindrome (14154445141).

The spelling of 12121233020 in words is "twelve billion, one hundred twenty-one million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 587 860 1118 1174 1847 2236 2348 2795 2935 3694 5590 5870 7388 7631 9235 11180 11740 15262 18470 24011 25241 30524 36940 38155 48022 50482 76310 79421 96044 100964 120055 126205 152620 158842 240110 252410 317684 328133 397105 480220 504820 656266 794210 1032473 1084189 1312532 1588420 1640665 2064946 2168378 3281330 4129892 4336756 5162365 5420945 6562660 10324730 10841890 14094457 20649460 21683780 28188914 46620127 56377828 70472285 93240254 140944570 186480508 233100635 281889140 466201270 606061651 932402540 1212123302 2424246604 3030308255 6060616510 12121233020