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12332331222001 = 717731419630623
BaseRepresentation
bin1011001101110101100000…
…1110001100001111110001
31121122221220100220101022021
42303131120032030033301
53104023103243101001
642121221133311441
72411660443543330
oct263353016141761
947587810811267
1012332331222001
113a2512652078a
121472108935581
136b5c1a86a98b
14308c60a03d17
15165bd3be5ba1
hexb375838c3f1

12332331222001 has 16 divisors (see below), whose sum is σ = 15127583929344. Its totient is φ = 9812486859264.

The previous prime is 12332331221993. The next prime is 12332331222007. The reversal of 12332331222001 is 10022213323321.

It is a cyclic number.

It is not a de Polignac number, because 12332331222001 - 23 = 12332331221993 is a prime.

It is a super-3 number, since 3×123323312220013 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12332331222007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 709806625 + ... + 709823998.

It is an arithmetic number, because the mean of its divisors is an integer number (945473995584).

Almost surely, 212332331222001 is an apocalyptic number.

It is an amenable number.

12332331222001 is a deficient number, since it is larger than the sum of its proper divisors (2795252707343).

12332331222001 is a wasteful number, since it uses less digits than its factorization.

12332331222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419630720.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 12332331222001 its reverse (10022213323321), we get a palindrome (22354544545322).

The spelling of 12332331222001 in words is "twelve trillion, three hundred thirty-two billion, three hundred thirty-one million, two hundred twenty-two thousand, one".

Divisors: 1 7 17 73 119 511 1241 8687 1419630623 9937414361 24133720591 103633035479 168936044137 725431248353 1761761603143 12332331222001