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12081143844 = 22347211219331
BaseRepresentation
bin10110100000001011…
…11010000000100100
31011011221210200210000
423100011322000210
5144220233100334
65314444501300
7605245012500
oct132005720044
934157720700
1012081143844
11513a544200
122411b4a830
1311a6c05733
14828701300
154aa94d299
hex2d017a024

12081143844 has 540 divisors, whose sum is σ = 42636150480. Its totient is φ = 2963822400.

The previous prime is 12081143813. The next prime is 12081143849. The reversal of 12081143844 is 44834118021.

It is a happy number.

12081143844 is a `hidden beast` number, since 1 + 208 + 11 + 438 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12081143799 and 12081143808.

It is not an unprimeable number, because it can be changed into a prime (12081143849) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 36498759 + ... + 36499089.

Almost surely, 212081143844 is an apocalyptic number.

12081143844 is a gapful number since it is divisible by the number (14) 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 12081143844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21318075240).

12081143844 is an abundant number, since it is smaller than the sum of its proper divisors (30555006636).

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

12081143844 is a wasteful number, since it uses less digits than its factorization.

12081143844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 12081143844 in words is "twelve billion, eighty-one million, one hundred forty-three thousand, eight hundred forty-four".