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12121200011 = 536722315307
BaseRepresentation
bin10110100100111101…
…01101010110001011
31011021202011202111202
423102132231112023
5144311011400021
65322435214415
7606242333354
oct132236552613
934252152452
1012121200011
115160112a78
12242344740b
1311b22bb9cb
1482db6ad2b
154ae211a0b
hex2d27ad58b

12121200011 has 16 divisors (see below), whose sum is σ = 12591258624. Its totient is φ = 11661702624.

The previous prime is 12121199999. The next prime is 12121200023. The reversal of 12121200011 is 11000212121.

It is an interprime number because it is at equal distance from previous prime (12121199999) and next prime (12121200023).

It is a cyclic number.

It is not a de Polignac number, because 12121200011 - 26 = 12121199947 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12121199965 and 12121200001.

It is not an unprimeable number, because it can be changed into a prime (12121200811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784220 + ... + 799526.

It is an arithmetic number, because the mean of its divisors is an integer number (786953664).

Almost surely, 212121200011 is an apocalyptic number.

12121200011 is a deficient number, since it is larger than the sum of its proper divisors (470058613).

12121200011 is a wasteful number, since it uses less digits than its factorization.

12121200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15650.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12121200011 its reverse (11000212121), we get a palindrome (23121412132).

The spelling of 12121200011 in words is "twelve billion, one hundred twenty-one million, two hundred thousand, eleven".

Divisors: 1 53 67 223 3551 11819 14941 15307 791873 811271 1025569 3413461 54355157 180913433 228701887 12121200011