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12011211001 = 731371201001
BaseRepresentation
bin10110010111110110…
…01000100011111001
31011000002012201221201
423023323020203321
5144044332223001
65303505534201
7603435415606
oct131373104371
934002181851
1012011211001
115104019669
1223b2644361
13119558b65a
1481d2d96ad
154a4737501
hex2cbec88f9

12011211001 has 8 divisors (see below), whose sum is σ = 12264632424. Its totient is φ = 11760192000.

The previous prime is 12011210999. The next prime is 12011211011. The reversal of 12011211001 is 10011211021.

It can be written as a sum of positive squares in 4 ways, for example, as 146773225 + 11864437776 = 12115^2 + 108924^2 .

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 12011211001 - 21 = 12011210999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12011211011) 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 7 ways as a sum of consecutive naturals, for example, 590500 + ... + 610501.

It is an arithmetic number, because the mean of its divisors is an integer number (1533079053).

Almost surely, 212011211001 is an apocalyptic number.

It is an amenable number.

12011211001 is a deficient number, since it is larger than the sum of its proper divisors (253421423).

12011211001 is a wasteful number, since it uses less digits than its factorization.

12011211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201211.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12011211001 its reverse (10011211021), we get a palindrome (22022422022).

The spelling of 12011211001 in words is "twelve billion, eleven million, two hundred eleven thousand, one".

Divisors: 1 73 137 10001 1201001 87673073 164537137 12011211001