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12421200011 = 1119480112379
BaseRepresentation
bin10111001000101110…
…00111100010001011
31012001122200100010212
423210113013202023
5200414311400021
65412313231335
7616544313053
oct134427074213
935048610125
1012421200011
1152a4497460
1224a7a0254b
13122c4b97bc
1485b940563
154ca72085b
hex2e45c788b

12421200011 has 16 divisors (see below), whose sum is σ = 14267702400. Its totient is φ = 10694592000.

The previous prime is 12421199951. The next prime is 12421200023. The reversal of 12421200011 is 11000212421.

It is a happy number.

12421200011 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 not a de Polignac number, because 12421200011 - 222 = 12417005707 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12421209011) 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, 997220 + ... + 1009598.

It is an arithmetic number, because the mean of its divisors is an integer number (891731400).

Almost surely, 212421200011 is an apocalyptic number.

12421200011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12421200011 is a deficient number, since it is larger than the sum of its proper divisors (1846502389).

12421200011 is a wasteful number, since it uses less digits than its factorization.

12421200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17210.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12421200011 its reverse (11000212421), we get a palindrome (23421412432).

The spelling of 12421200011 in words is "twelve billion, four hundred twenty-one million, two hundred thousand, eleven".

Divisors: 1 11 19 209 4801 12379 52811 91219 136169 235201 1003409 2587211 59431579 653747369 1129200001 12421200011