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12211215201 = 321356801689
BaseRepresentation
bin10110101111101100…
…00101101101100001
31011112000120000010200
423113312011231201
5200002032341301
65335412415413
7611414421333
oct132766055541
934460500120
1012211215201
1151a6a04799
122449617569
1311c7b47833
1483babd453
154b7092c86
hex2d7d85b61

12211215201 has 6 divisors (see below), whose sum is σ = 17638421970. Its totient is φ = 8140810128.

The previous prime is 12211215199. The next prime is 12211215229. The reversal of 12211215201 is 10251211221.

12211215201 is a `hidden beast` number, since 1 + 2 + 21 + 121 + 520 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12059334225 + 151880976 = 109815^2 + 12324^2 .

It is not a de Polignac number, because 12211215201 - 21 = 12211215199 is a prime.

It is a super-2 number, since 2×122112152012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211215251) 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 5 ways as a sum of consecutive naturals, for example, 678400836 + ... + 678400853.

It is an arithmetic number, because the mean of its divisors is an integer number (2939736995).

Almost surely, 212211215201 is an apocalyptic number.

It is an amenable number.

12211215201 is a deficient number, since it is larger than the sum of its proper divisors (5427206769).

12211215201 is a wasteful number, since it uses less digits than its factorization.

12211215201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356801695 (or 1356801692 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 12211215201 its reverse (10251211221), we get a palindrome (22462426422).

The spelling of 12211215201 in words is "twelve billion, two hundred eleven million, two hundred fifteen thousand, two hundred one".

Divisors: 1 3 9 1356801689 4070405067 12211215201