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11210120012 = 2271370143933
BaseRepresentation
bin10100111000010110…
…01101101101001100
31001221020211002201002
422130023031231030
5140424242320022
65052211435432
7544540306430
oct123413155514
931836732632
1011210120012
1148329030a3
12220a2b5b78
131098616010
14784b689c0
15459247092
hex29c2cdb4c

11210120012 has 48 divisors (see below), whose sum is σ = 24179867712. Its totient is φ = 4428345600.

The previous prime is 11210120011. The next prime is 11210120017. The reversal of 11210120012 is 21002101211.

11210120012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11210119975 and 11210120002.

It is not an unprimeable number, because it can be changed into a prime (11210120011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233198 + ... + 277130.

It is an arithmetic number, because the mean of its divisors is an integer number (503747244).

Almost surely, 211210120012 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 11210120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12089933856).

11210120012 is an abundant number, since it is smaller than the sum of its proper divisors (12969747700).

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

11210120012 is a wasteful number, since it uses less digits than its factorization.

11210120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44658 (or 44656 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11210120012 its reverse (21002101211), we get a palindrome (32212221223).

The spelling of 11210120012 in words is "eleven billion, two hundred ten million, one hundred twenty thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 701 1402 2804 4907 9113 9814 18226 19628 36452 43933 63791 87866 127582 175732 255164 307531 571129 615062 1142258 1230124 2284516 3997903 7995806 15991612 30797033 61594066 123188132 215579231 400361429 431158462 800722858 862316924 1601445716 2802530003 5605060006 11210120012