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12042224021 = 412714612351
BaseRepresentation
bin10110011011100010…
…11100000110010101
31011002020120100211002
423031301130012111
5144130302132041
65310534353045
7604263133562
oct131561340625
934066510732
1012042224021
11511a581163
122400abb785
13119bb29759
1482348d869
154a731159b
hex2cdc5c195

12042224021 has 16 divisors (see below), whose sum is σ = 12413592576. Its totient is φ = 11674800000.

The previous prime is 12042223993. The next prime is 12042224069.

12042224021 is nontrivially palindromic in base 10.

12042224021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12042224021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12042223984 and 12042224002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042224081) 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 15 ways as a sum of consecutive naturals, for example, 5120996 + ... + 5123346.

It is an arithmetic number, because the mean of its divisors is an integer number (775849536).

Almost surely, 212042224021 is an apocalyptic number.

It is an amenable number.

12042224021 is a deficient number, since it is larger than the sum of its proper divisors (371368555).

12042224021 is a wasteful number, since it uses less digits than its factorization.

12042224021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124.

The product of its (nonzero) digits is 512, while the sum is 20.

The spelling of 12042224021 in words is "twelve billion, forty-two million, two hundred twenty-four thousand, twenty-one".

Divisors: 1 41 271 461 2351 11111 18901 96391 124931 637121 1083811 5122171 26121961 44436251 293712781 12042224021