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201112440012 = 223211967525191
BaseRepresentation
bin1011101101001100111…
…1000100110011001100
3201020002212112111022100
42323103033010303030
511243334241040022
6232220105315100
720346516351231
oct2732317046314
9636085474270
10201112440012
1178322802910
1232b88195a90
1315c709371c3
149a3bb3b788
155370e661ac
hex2ed33c4ccc

201112440012 has 72 divisors (see below), whose sum is σ = 555157354752. Its totient is φ = 60880024800.

The previous prime is 201112440007. The next prime is 201112440019. The reversal of 201112440012 is 210044211102.

201112440012 is a `hidden beast` number, since 201 + 1 + 12 + 440 + 0 + 12 = 666.

201112440012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201112440019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120337 + ... + 645527.

It is an arithmetic number, because the mean of its divisors is an integer number (7710518816).

Almost surely, 2201112440012 is an apocalyptic number.

201112440012 is a gapful number since it is divisible by the number (22) 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 201112440012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277578677376).

201112440012 is an abundant number, since it is smaller than the sum of its proper divisors (354044914740).

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

201112440012 is a wasteful number, since it uses less digits than its factorization.

201112440012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526179 (or 526174 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201112440012 its reverse (210044211102), we get a palindrome (411156651114).

The spelling of 201112440012 in words is "two hundred one billion, one hundred twelve million, four hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 967 1934 2901 3868 5802 8703 10637 11604 17406 21274 31911 34812 42548 63822 95733 127644 191466 382932 525191 1050382 1575573 2100764 3151146 4726719 5777101 6302292 9453438 11554202 17331303 18906876 23108404 34662606 51993909 69325212 103987818 207975636 507859697 1015719394 1523579091 2031438788 3047158182 4570737273 5586456667 6094316364 9141474546 11172913334 16759370001 18282949092 22345826668 33518740002 50278110003 67037480004 100556220006 201112440012