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12211021220 = 2251937614157
BaseRepresentation
bin10110101111101010…
…10110010110100100
31011112000012011001012
423113311112112210
5200002010134340
65335404321352
7611412652646
oct132765262644
934460164035
1012211021220
1151a6891a82
122449543258
1311c7aaa458
1483ba6c896
154b7055565
hex2d7d565a4

12211021220 has 48 divisors (see below), whose sum is σ = 25816090608. Its totient is φ = 4851548160.

The previous prime is 12211021219. The next prime is 12211021247. The reversal of 12211021220 is 2212011221.

It can be written as a sum of positive squares in 8 ways, for example, as 3844992064 + 8366029156 = 62008^2 + 91466^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12211021195 and 12211021204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2935382 + ... + 2939538.

It is an arithmetic number, because the mean of its divisors is an integer number (537835221).

Almost surely, 212211021220 is an apocalyptic number.

12211021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211021220 is an abundant number, since it is smaller than the sum of its proper divisors (13605069388).

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

12211021220 is a wasteful number, since it uses less digits than its factorization.

12211021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5120 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12211021220 its reverse (2212011221), we get a palindrome (14423032441).

Subtracting from 12211021220 its reverse (2212011221), we obtain a palindrome (9999009999).

The spelling of 12211021220 in words is "twelve billion, two hundred eleven million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 193 386 761 772 965 1522 1930 3044 3805 3860 4157 7610 8314 15220 16628 20785 41570 83140 146873 293746 587492 734365 802301 1468730 1604602 2937460 3163477 3209204 4011505 6326954 8023010 12653908 15817385 16046020 31634770 63269540 610551061 1221102122 2442204244 3052755305 6105510610 12211021220