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12043011420 = 223351121491237
BaseRepresentation
bin10110011011101000…
…11100010101011100
31011002022001100221000
423031310130111130
5144131002331140
65311003310300
7604302623316
oct131564342534
934068040830
1012043011420
11511aa69800
12240121b390
13119c043c7b
148236167b6
154a7419a30
hex2cdd1c55c

12043011420 has 288 divisors, whose sum is σ = 41492808000. Its totient is φ = 2897579520.

The previous prime is 12043011401. The next prime is 12043011469. The reversal of 12043011420 is 2411034021.

12043011420 is a `hidden beast` number, since 1 + 204 + 30 + 11 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12043011393 and 12043011402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9735042 + ... + 9736278.

It is an arithmetic number, because the mean of its divisors is an integer number (144072250).

Almost surely, 212043011420 is an apocalyptic number.

12043011420 is a gapful number since it is divisible by the number (10) 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 12043011420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20746404000).

12043011420 is an abundant number, since it is smaller than the sum of its proper divisors (29449796580).

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

12043011420 is a wasteful number, since it uses less digits than its factorization.

12043011420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12043011420 its reverse (2411034021), we get a palindrome (14454045441).

The spelling of 12043011420 in words is "twelve billion, forty-three million, eleven thousand, four hundred twenty".