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12232210121 = 291997211217
BaseRepresentation
bin10110110010001100…
…01011011011001001
31011120111001122202022
423121012023123021
5200022421210441
65341442414225
7612061033115
oct133106133311
934514048668
1012232210121
11520784456a
122454661375
1311cc2b8a71
148407c6745
154b8d3d84b
hex2d918b6c9

12232210121 has 8 divisors (see below), whose sum is σ = 12660406920. Its totient is φ = 11804439808.

The previous prime is 12232210103. The next prime is 12232210139. The reversal of 12232210121 is 12101223221.

12232210121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12232210103) and next prime (12232210139).

It can be written as a sum of positive squares in 4 ways, for example, as 408040000 + 11824170121 = 20200^2 + 108739^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12232210121 - 214 = 12232193737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12232210121.

It is not an unprimeable number, because it can be changed into a prime (12232210171) by changing a digit.

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, 47696 + ... + 163521.

It is an arithmetic number, because the mean of its divisors is an integer number (1582550865).

Almost surely, 212232210121 is an apocalyptic number.

It is an amenable number.

12232210121 is a deficient number, since it is larger than the sum of its proper divisors (428196799).

12232210121 is a wasteful number, since it uses less digits than its factorization.

12232210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213243.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12232210121 its reverse (12101223221), we get a palindrome (24333433342).

The spelling of 12232210121 in words is "twelve billion, two hundred thirty-two million, two hundred ten thousand, one hundred twenty-one".

Divisors: 1 29 1997 57913 211217 6125293 421800349 12232210121