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12144400011201 = 331130584946357
BaseRepresentation
bin1011000010111001011010…
…1001100000111111000001
31120222222211010011201012110
42300232112221200333001
53042433212400324301
641455021011245533
72362255360604553
oct260562651407701
946888733151173
1012144400011201
113962458225537
1214417baba98a9
136a129aa199b3
142ddb137294d3
15160d8507e0d6
hexb0b96a60fc1

12144400011201 has 8 divisors (see below), whose sum is σ = 16714873133824. Its totient is φ = 7835096781360.

The previous prime is 12144400011157. The next prime is 12144400011229. The reversal of 12144400011201 is 10211000444121.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12144400011201 - 26 = 12144400011137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12144400011251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65292473086 + ... + 65292473271.

It is an arithmetic number, because the mean of its divisors is an integer number (2089359141728).

Almost surely, 212144400011201 is an apocalyptic number.

It is an amenable number.

12144400011201 is a deficient number, since it is larger than the sum of its proper divisors (4570473122623).

12144400011201 is a wasteful number, since it uses less digits than its factorization.

12144400011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130584946391.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 12144400011201 its reverse (10211000444121), we get a palindrome (22355400455322).

The spelling of 12144400011201 in words is "twelve trillion, one hundred forty-four billion, four hundred million, eleven thousand, two hundred one".

Divisors: 1 3 31 93 130584946357 391754839071 4048133337067 12144400011201