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12101101220 = 22513353131849
BaseRepresentation
bin10110100010100100…
…00010011010100100
31011020100100122011002
423101102002122210
5144240340214340
65320440332432
7605606443325
oct132122023244
934210318132
1012101101220
11514a8354aa
122418774118
1311ab0a2630
1482b21844c
154ac591715
hex2d14826a4

12101101220 has 48 divisors (see below), whose sum is σ = 27444841200. Its totient is φ = 4455407616.

The previous prime is 12101101219. The next prime is 12101101223. The reversal of 12101101220 is 2210110121.

It can be written as a sum of positive squares in 8 ways, for example, as 4564083364 + 7537017856 = 67558^2 + 86816^2 .

It is not an unprimeable number, because it can be changed into a prime (12101101223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25856 + ... + 157704.

It is an arithmetic number, because the mean of its divisors is an integer number (571767525).

Almost surely, 212101101220 is an apocalyptic number.

12101101220 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 12101101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13722420600).

12101101220 is an abundant number, since it is smaller than the sum of its proper divisors (15343739980).

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

12101101220 is a wasteful number, since it uses less digits than its factorization.

12101101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132224 (or 132222 counting only the distinct ones).

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

Adding to 12101101220 its reverse (2210110121), we get a palindrome (14311211341).

The spelling of 12101101220 in words is "twelve billion, one hundred one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 353 706 1412 1765 3530 4589 7060 9178 18356 22945 45890 91780 131849 263698 527396 659245 1318490 1714037 2636980 3428074 6856148 8570185 17140370 34280740 46542697 93085394 186170788 232713485 465426970 605055061 930853940 1210110122 2420220244 3025275305 6050550610 12101101220