Search a number
-
+
12010220010020 = 2255297556920357
BaseRepresentation
bin1010111011000101100011…
…1001011011101000100100
31120112011110212211101221002
42232301120321123220210
53033233412310310040
641313230252212432
72346465306452051
oct256613071335044
946464425741832
1012010220010020
1139105620a9681
12141b7b246a118
13691735b4c1ab
142d7425052028
1515c63028ba15
hexaec58e5ba24

12010220010020 has 48 divisors (see below), whose sum is σ = 25231992654960. Its totient is φ = 4802082668544.

The previous prime is 12010220009987. The next prime is 12010220010029. The reversal of 12010220010020 is 2001002201021.

It is a happy number.

12010220010020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 11367397924 + 11998852612096 = 106618^2 + 3463936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12010220009983 and 12010220010010.

It is not an unprimeable number, because it can be changed into a prime (12010220010029) 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, 589969682 + ... + 589990038.

It is an arithmetic number, because the mean of its divisors is an integer number (525666513645).

Almost surely, 212010220010020 is an apocalyptic number.

12010220010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010220010020 is an abundant number, since it is smaller than the sum of its proper divisors (13221772644940).

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

12010220010020 is a wasteful number, since it uses less digits than its factorization.

12010220010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31232 (or 31230 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12010220010020 its reverse (2001002201021), we get a palindrome (14011222211041).

The spelling of 12010220010020 in words is "twelve trillion, ten billion, two hundred twenty million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 5297 5569 10594 11138 20357 21188 22276 26485 27845 40714 52970 55690 81428 101785 105940 111380 203570 407140 29498993 58997986 107831029 113368133 117995972 147494965 215662058 226736266 294989930 431324116 453472532 539155145 566840665 589979860 1078310290 1133681330 2156620580 2267362660 600511000501 1201022001002 2402044002004 3002555002505 6005110005010 12010220010020