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12022120013 = 313471117609
BaseRepresentation
bin10110011001001001…
…01111111001001101
31011000211201222022012
423030210233321031
5144110130320023
65304535431005
7603630222401
oct131444577115
934024658265
1012022120013
11510a19a782
1223b6225465
13119790aba7
14820939101
154a568e978
hex2cc92fe4d

12022120013 has 8 divisors (see below), whose sum is σ = 12445704960. Its totient is φ = 11600771040.

The previous prime is 12022119953. The next prime is 12022120049. The reversal of 12022120013 is 31002122021.

It is a happy number.

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 12022120013 - 210 = 12022118989 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12022120013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022180013) 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, 548048 + ... + 569561.

It is an arithmetic number, because the mean of its divisors is an integer number (1555713120).

Almost surely, 212022120013 is an apocalyptic number.

It is an amenable number.

12022120013 is a deficient number, since it is larger than the sum of its proper divisors (423584947).

12022120013 is a wasteful number, since it uses less digits than its factorization.

12022120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117987.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12022120013 its reverse (31002122021), we get a palindrome (43024242034).

The spelling of 12022120013 in words is "twelve billion, twenty-two million, one hundred twenty thousand, thirteen".

Divisors: 1 31 347 10757 1117609 34645879 387810323 12022120013