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12014414412 = 223711132343487
BaseRepresentation
bin10110011000001110…
…10110101001001100
31011000022020111012120
423030013112221030
5144101142230122
65304102332540
7603504560160
oct131407265114
934008214176
1012014414412
115105907410
1223b372a150
131196140770
1481d8d0ca0
154a4b6b75c
hex2cc1d6a4c

12014414412 has 192 divisors, whose sum is σ = 39276969984. Its totient is φ = 2755272960.

The previous prime is 12014414407. The next prime is 12014414431. The reversal of 12014414412 is 21441441021.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254533 + ... + 298019.

It is an arithmetic number, because the mean of its divisors is an integer number (204567552).

Almost surely, 212014414412 is an apocalyptic number.

12014414412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12014414412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19638484992).

12014414412 is an abundant number, since it is smaller than the sum of its proper divisors (27262555572).

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

12014414412 is a wasteful number, since it uses less digits than its factorization.

12014414412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43548 (or 43546 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 12014414412 its reverse (21441441021), we get a palindrome (33455855433).

It can be divided in two parts, 12014 and 414412, that added together give a triangular number (426426 = T923).

The spelling of 12014414412 in words is "twelve billion, fourteen million, four hundred fourteen thousand, four hundred twelve".