Search a number
-
+
2012120000022 = 2311791753220141
BaseRepresentation
bin11101010001111011101…
…100101010011000010110
321010100122002202122101210
4131101323230222120112
5230431310210000042
64140204414402250
7265241131543056
oct35217354523026
97110562678353
102012120000022
11706376314230
12285b66b00386
13117985522b12
146d55c3c7566
1537517053a9c
hex1d47bb2a616

2012120000022 has 64 divisors (see below), whose sum is σ = 4448206863360. Its totient is φ = 601669036800.

The previous prime is 2012119999999. The next prime is 2012120000041. The reversal of 2012120000022 is 2200000212102.

It is a junction number, because it is equal to n+sod(n) for n = 2012119999962 and 2012120000007.

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, 9030072 + ... + 9250212.

It is an arithmetic number, because the mean of its divisors is an integer number (69503232240).

Almost surely, 22012120000022 is an apocalyptic number.

2012120000022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012120000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224103431680).

2012120000022 is an abundant number, since it is smaller than the sum of its proper divisors (2436086863338).

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

2012120000022 is a wasteful number, since it uses less digits than its factorization.

2012120000022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221989.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2012120000022 its reverse (2200000212102), we get a palindrome (4212120212124).

The spelling of 2012120000022 in words is "two trillion, twelve billion, one hundred twenty million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 66 79 158 237 474 869 1738 1753 2607 3506 5214 5259 10518 19283 38566 57849 115698 138487 220141 276974 415461 440282 660423 830922 1320846 1523357 2421551 3046714 4570071 4843102 7264653 9140142 14529306 17391139 34782278 52173417 104346834 191302529 382605058 385907173 573907587 771814346 1147815174 1157721519 2315443038 4244978903 8489957806 12734936709 25469873418 30486666667 60973333334 91460000001 182920000002 335353333337 670706666674 1006060000011 2012120000022