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12042244224021 = 3112315865934419
BaseRepresentation
bin1010111100111100110110…
…1100000111010000010101
31120122020010201001000220010
42233033031230013100111
53034300004010132041
641340044114230433
72352011016002334
oct257171554072025
946566121030803
1012042244224021
1139230a5a18640
121425a4b285419
1369476a6b8b4b
142d8bc2259d1b
1515d3a695ca16
hexaf3cdb07415

12042244224021 has 16 divisors (see below), whose sum is σ = 18277556451840. Its totient is φ = 6981011143920.

The previous prime is 12042244223969. The next prime is 12042244224097.

12042244224021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12042244224021 - 239 = 11492488410133 is a prime.

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 12042244224021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042244224121) 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, 7932966451 + ... + 7932967968.

It is an arithmetic number, because the mean of its divisors is an integer number (1142347278240).

Almost surely, 212042244224021 is an apocalyptic number.

12042244224021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12042244224021 is a deficient number, since it is larger than the sum of its proper divisors (6235312227819).

12042244224021 is a wasteful number, since it uses less digits than its factorization.

12042244224021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15865934456.

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 1204224 and 4224021, that added together give a palindrome (5428245).

The spelling of 12042244224021 in words is "twelve trillion, forty-two billion, two hundred forty-four million, two hundred twenty-four thousand, twenty-one".

Divisors: 1 3 11 23 33 69 253 759 15865934419 47597803257 174525278609 364916491637 523575835827 1094749474911 4014081408007 12042244224021