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12240122411 = 1119411428419
BaseRepresentation
bin10110110011001000…
…10111001000101011
31011121000221122101002
423121210113020223
5200031432404121
65342324145215
7612215216036
oct133144271053
934530848332
1012240122411
115211259150
12245723820b
131200b292aa
1484188601d
154b98a2e0b
hex2d991722b

12240122411 has 16 divisors (see below), whose sum is σ = 14398473600. Its totient is φ = 10284609600.

The previous prime is 12240122407. The next prime is 12240122443. The reversal of 12240122411 is 11422104221.

12240122411 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 12240122411 - 22 = 12240122407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12240122311) 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, 705641 + ... + 722778.

It is an arithmetic number, because the mean of its divisors is an integer number (899904600).

Almost surely, 212240122411 is an apocalyptic number.

12240122411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12240122411 is a deficient number, since it is larger than the sum of its proper divisors (2158351189).

12240122411 is a wasteful number, since it uses less digits than its factorization.

12240122411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428490.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12240122411 its reverse (11422104221), we get a palindrome (23662226632).

The spelling of 12240122411 in words is "twelve billion, two hundred forty million, one hundred twenty-two thousand, four hundred eleven".

Divisors: 1 11 19 41 209 451 779 8569 1428419 15712609 27139961 58565179 298539571 644216969 1112738401 12240122411