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12010015142424 = 233213311313159619
BaseRepresentation
bin1010111011000100110010…
…1011111011001000011000
31120112010221121100001102100
42232301030223323020120
53033233002334024144
641313154053203400
72346460241222325
oct256611453731030
946463847301370
1012010015142424
1139104674a1612
12141b755930560
1369170257c470
142d7405b63b4c
1515c61c2c0269
hexaec4cafb218

12010015142424 has 192 divisors, whose sum is σ = 36435221222400. Its totient is φ = 3548882937600.

The previous prime is 12010015142401. The next prime is 12010015142429. The reversal of 12010015142424 is 42424151001021.

12010015142424 is a `hidden beast` number, since 1 + 2 + 0 + 100 + 1 + 514 + 2 + 42 + 4 = 666.

12010015142424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010015142429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2221287 + ... + 5380905.

It is an arithmetic number, because the mean of its divisors is an integer number (189766777200).

Almost surely, 212010015142424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010015142424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18217610611200).

12010015142424 is an abundant number, since it is smaller than the sum of its proper divisors (24425206079976).

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

12010015142424 is a wasteful number, since it uses less digits than its factorization.

12010015142424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159806 (or 3159799 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 12010015142424 its reverse (42424151001021), we get a palindrome (54434166143445).

The spelling of 12010015142424 in words is "twelve trillion, ten billion, fifteen million, one hundred forty-two thousand, four hundred twenty-four".