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12132211001 = 101165772493
BaseRepresentation
bin10110100110010001…
…01101100100111001
31011022111220011202012
423103020231210321
5144321321223001
65323511215305
7606435043361
oct132310554471
934274804665
1012132211001
115166353769
122427077535
1311b46757a1
148313d59a1
154b01892bb
hex2d322d939

12132211001 has 8 divisors (see below), whose sum is σ = 12259895304. Its totient is φ = 12004675200.

The previous prime is 12132210991. The next prime is 12132211019. The reversal of 12132211001 is 10011223121.

12132211001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4980971776 + 7151239225 = 70576^2 + 84565^2 .

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 12132211001 - 222 = 12128016697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12132211031) 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, 131111 + ... + 203603.

It is an arithmetic number, because the mean of its divisors is an integer number (1532486913).

Almost surely, 212132211001 is an apocalyptic number.

It is an amenable number.

12132211001 is a deficient number, since it is larger than the sum of its proper divisors (127684303).

12132211001 is a wasteful number, since it uses less digits than its factorization.

12132211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74251.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12132211001 its reverse (10011223121), we get a palindrome (22143434122).

The spelling of 12132211001 in words is "twelve billion, one hundred thirty-two million, two hundred eleven thousand, one".

Divisors: 1 101 1657 72493 167357 7321793 120120901 12132211001