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12211111020 = 22351117182201
BaseRepresentation
bin10110101111101011…
…01100010001101100
31011112000100201020010
423113311230101230
5200002021023040
65335410253220
7611413505523
oct132765542154
934460321203
1012211111020
1151a6943499
122449587210
1311c7b0c2a4
1483ba934ba
154b7071e80
hex2d7d6c46c

12211111020 has 48 divisors (see below), whose sum is σ = 34221908448. Its totient is φ = 3253363200.

The previous prime is 12211110979. The next prime is 12211111021. The reversal of 12211111020 is 2011111221.

It is a super-2 number, since 2×122111110202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12211110987 and 12211111005.

It is not an unprimeable number, because it can be changed into a prime (12211111021) by changing a digit.

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, 24081 + ... + 158120.

It is an arithmetic number, because the mean of its divisors is an integer number (712956426).

Almost surely, 212211111020 is an apocalyptic number.

12211111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211111020 is an abundant number, since it is smaller than the sum of its proper divisors (22010797428).

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

12211111020 is a wasteful number, since it uses less digits than its factorization.

12211111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183330 (or 183328 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12211111020 its reverse (2011111221), we get a palindrome (14222222241).

The spelling of 12211111020 in words is "twelve billion, two hundred eleven million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1117 2234 3351 4468 5585 6702 11170 13404 16755 22340 33510 67020 182201 364402 546603 728804 911005 1093206 1822010 2186412 2733015 3644020 5466030 10932060 203518517 407037034 610555551 814074068 1017592585 1221111102 2035185170 2442222204 3052777755 4070370340 6105555510 12211111020