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12000120012 = 2232571583777
BaseRepresentation
bin10110010110100001…
…10100110011001100
31010222022100020222100
423023100310303030
5144034012320022
65302432115100
7603242223426
oct131320646314
933868306870
1012000120012
1150a8833861
1223aa995a90
1311931a733a
1481ba4d816
154a37961ac
hex2cb434ccc

12000120012 has 36 divisors (see below), whose sum is σ = 30386812456. Its totient is φ = 3993027840.

The previous prime is 12000119899. The next prime is 12000120017. The reversal of 12000120012 is 21002100021.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

12000120012 is a modest number, since divided by 120012 gives 120 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 12000119976 and 12000120003.

It is not an unprimeable number, because it can be changed into a prime (12000120017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271333 + ... + 312444.

Almost surely, 212000120012 is an apocalyptic number.

12000120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000120012 is an abundant number, since it is smaller than the sum of its proper divisors (18386692444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12000120012 is a wasteful number, since it uses less digits than its factorization.

12000120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584358 (or 584353 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12000120012 its reverse (21002100021), we get a palindrome (33002220033).

The spelling of 12000120012 in words is "twelve billion, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 571 1142 1713 2284 3426 5139 6852 10278 20556 583777 1167554 1751331 2335108 3502662 5253993 7005324 10507986 21015972 333336667 666673334 1000010001 1333346668 2000020002 3000030003 4000040004 6000060006 12000120012