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12011220013 = 131879491719
BaseRepresentation
bin10110010111110110…
…01010110000101101
31011000002020012022111
423023323022300231
5144044333020023
65303510044021
7603435454102
oct131373126055
934002205274
1012011220013
115104025411
1223b2649611
1311955927a0
1481d2dcaa9
154a473a00d
hex2cbecac2d

12011220013 has 8 divisors (see below), whose sum is σ = 12942070400. Its totient is φ = 11081356848.

The previous prime is 12011219989. The next prime is 12011220017. The reversal of 12011220013 is 31002211021.

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

It is a cyclic number.

It is not a de Polignac number, because 12011220013 - 25 = 12011219981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12011219975 and 12011220002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011220017) 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 7 ways as a sum of consecutive naturals, for example, 221433 + ... + 270286.

It is an arithmetic number, because the mean of its divisors is an integer number (1617758800).

Almost surely, 212011220013 is an apocalyptic number.

12011220013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12011220013 is a deficient number, since it is larger than the sum of its proper divisors (930850387).

12011220013 is a wasteful number, since it uses less digits than its factorization.

12011220013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493611.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12011220013 its reverse (31002211021), we get a palindrome (43013431034).

The spelling of 12011220013 in words is "twelve billion, eleven million, two hundred twenty thousand, thirteen".

Divisors: 1 13 1879 24427 491719 6392347 923940001 12011220013