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12000000000021 = 3112919165650183
BaseRepresentation
bin1010111010011111011110…
…1111001100000000010101
31120111012002122002002211020
42232213313233030000111
53033102000000000041
641304420210031353
72345654121012405
oct256476757140025
946435078062736
1012000000000021
113907198184920
12141981b878559
136907976bc8b7
142d6b359bc805
1515c232e20866
hexae9f7bcc015

12000000000021 has 32 divisors (see below), whose sum is σ = 18150962872320. Its totient is φ = 6985179364800.

The previous prime is 12000000000017. The next prime is 12000000000047.

It is a happy number.

12000000000021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12000000000021 - 22 = 12000000000017 is a prime.

12000000000021 is a modest number, since divided by 21 gives 12 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11999999999919 and 12000000000009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000000000421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32642305 + ... + 33007878.

It is an arithmetic number, because the mean of its divisors is an integer number (567217589760).

Almost surely, 212000000000021 is an apocalyptic number.

12000000000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12000000000021 is a deficient number, since it is larger than the sum of its proper divisors (6150962872299).

12000000000021 is a wasteful number, since it uses less digits than its factorization.

12000000000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65650417.

The product of its (nonzero) digits is 4, while the sum is 6.

It can be divided in two parts, 120000000000 and 21, that added together give a palindrome (120000000021).

The spelling of 12000000000021 in words is "twelve trillion, twenty-one", and thus it is an aban number and an uban number.

Divisors: 1 3 11 29 33 87 191 319 573 957 2101 5539 6303 16617 60929 182787 65650183 196950549 722152013 1903855307 2166456039 5711565921 12539184953 20942408377 37617554859 62827225131 137931034483 363636363637 413793103449 1090909090911 4000000000007 12000000000021