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12044400444021 = 311427518537387
BaseRepresentation
bin1010111101000100111000…
…1101011100001001110101
31120122102200222100100200010
42233101032031130021311
53034313413003202041
641341042101410433
72352115320401121
oct257211615341165
946572628310603
1012044400444021
113924002065640
121426351409a19
13694a2232c27a
142d8d4877c581
1515d480dcca16
hexaf44e35c275

12044400444021 has 16 divisors (see below), whose sum is σ = 17519539765248. Its totient is φ = 7299465030000.

The previous prime is 12044400443987. The next prime is 12044400444031.

12044400444021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12044400444021 - 211 = 12044400441973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12044400444021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12044400444031) 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, 2857911 + ... + 5679476.

It is an arithmetic number, because the mean of its divisors is an integer number (1094971235328).

Almost surely, 212044400444021 is an apocalyptic number.

12044400444021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12044400444021 is a deficient number, since it is larger than the sum of its proper divisors (5475139321227).

12044400444021 is a wasteful number, since it uses less digits than its factorization.

12044400444021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8580152.

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

It can be divided in two parts, 12044400 and 444021, that added together give a palindrome (12488421).

The spelling of 12044400444021 in words is "twelve trillion, forty-four billion, four hundred million, four hundred forty-four thousand, twenty-one".

Divisors: 1 3 11 33 42751 128253 470261 1410783 8537387 25612161 93911257 281733771 364981831637 1094945494911 4014800148007 12044400444021