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12211262160 = 243550880259
BaseRepresentation
bin10110101111101100…
…10001001011010000
31011112000122101112220
423113312101023100
5200002040342120
65335413421040
7611415005256
oct132766211320
934460571486
1012211262160
1151a6a36aa9
12244963a780
1311c7b63016
1483bad25d6
154b70a1b40
hex2d7d912d0

12211262160 has 40 divisors (see below), whose sum is σ = 37854913440. Its totient is φ = 3256336512.

The previous prime is 12211262137. The next prime is 12211262191. The reversal of 12211262160 is 6126211221.

12211262160 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 (40).

It is a super-2 number, since 2×122112621602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12211262160.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 25439890 + ... + 25440369.

It is an arithmetic number, because the mean of its divisors is an integer number (946372836).

Almost surely, 212211262160 is an apocalyptic number.

12211262160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211262160 is an abundant number, since it is smaller than the sum of its proper divisors (25643651280).

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

12211262160 is a wasteful number, since it uses less digits than its factorization.

12211262160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50880275 (or 50880269 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 12211262160 its reverse (6126211221), we get a palindrome (18337473381).

The spelling of 12211262160 in words is "twelve billion, two hundred eleven million, two hundred sixty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 50880259 101760518 152640777 203521036 254401295 305281554 407042072 508802590 610563108 763203885 814084144 1017605180 1221126216 1526407770 2035210360 2442252432 3052815540 4070420720 6105631080 12211262160