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12111441312420 = 22345174110726253
BaseRepresentation
bin1011000000111110101000…
…1010000011101010100100
31120212211202011120100010000
42300033222022003222210
53041413212433444140
641431530324101300
72360010543361002
oct260175212035244
946784664510100
1012111441312420
11394a4849702aa
121437341234830
1369b1476a1278
142dc2a8389a72
151600a681da30
hexb03ea283aa4

12111441312420 has 240 divisors, whose sum is σ = 41210182057968. Its totient is φ = 2965594152960.

The previous prime is 12111441312353. The next prime is 12111441312431. The reversal of 12111441312420 is 2421314411121.

12111441312420 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 1 + 4 + 413 + 1 + 242 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 694435555584 + 11417005756836 = 833328^2 + 3378906^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4233987 + ... + 6492266.

Almost surely, 212111441312420 is an apocalyptic number.

12111441312420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111441312420 is an abundant number, since it is smaller than the sum of its proper divisors (29098740745548).

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

12111441312420 is a wasteful number, since it uses less digits than its factorization.

12111441312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10726332 (or 10726321 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 12111441312420 its reverse (2421314411121), we get a palindrome (14532755723541).

The spelling of 12111441312420 in words is "twelve trillion, one hundred eleven billion, four hundred forty-one million, three hundred twelve thousand, four hundred twenty".