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12221011120 = 245152762639
BaseRepresentation
bin10110110000110110…
…11101010010110000
31011112200222200121111
423120123131102300
5200012034323440
65340402403104
7611563611013
oct133033352260
934480880544
1012221011120
11520149559a
122450960494
1311c9b97536
1483d10d37a
154b7d7a4ea
hex2d86dd4b0

12221011120 has 20 divisors (see below), whose sum is σ = 28413851040. Its totient is φ = 4888404416.

The previous prime is 12221011087. The next prime is 12221011139. The reversal of 12221011120 is 2111012221.

12221011120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×122210111202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12221011120.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 76381240 + ... + 76381399.

It is an arithmetic number, because the mean of its divisors is an integer number (1420692552).

Almost surely, 212221011120 is an apocalyptic number.

12221011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221011120 is an abundant number, since it is smaller than the sum of its proper divisors (16192839920).

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

12221011120 is a wasteful number, since it uses less digits than its factorization.

12221011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152762652 (or 152762646 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12221011120 its reverse (2111012221), we get a palindrome (14332023341).

It can be divided in two parts, 1222101 and 1120, that added together give a palindrome (1223221).

The spelling of 12221011120 in words is "twelve billion, two hundred twenty-one million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 152762639 305525278 611050556 763813195 1222101112 1527626390 2444202224 3055252780 6110505560 12221011120