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12014012021040 = 24325194121419933
BaseRepresentation
bin1010111011010011101011…
…1010110011100100110000
31120112112021011011112010200
42232310322322303210300
53033314144034133130
641315054432155200
72346661263145551
oct256647272634460
946475234145120
1012014012021040
113912128643687
121420490398b00
13691bbb64a1b3
142d76a4904328
1515c7a312a760
hexaed3aeb3930

12014012021040 has 240 divisors, whose sum is σ = 43506456346080. Its totient is φ = 2961091399680.

The previous prime is 12014012021029. The next prime is 12014012021087. The reversal of 12014012021040 is 4012021041021.

12014012021040 is a `hidden beast` number, since 1 + 20 + 1 + 401 + 202 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10149087 + ... + 11270846.

It is an arithmetic number, because the mean of its divisors is an integer number (181276901442).

Almost surely, 212014012021040 is an apocalyptic number.

12014012021040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12014012021040 is an abundant number, since it is smaller than the sum of its proper divisors (31492444325040).

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

12014012021040 is a wasteful number, since it uses less digits than its factorization.

12014012021040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21420012 (or 21420003 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12014012021040 its reverse (4012021041021), we get a palindrome (16026033062061).

The spelling of 12014012021040 in words is "twelve trillion, fourteen billion, twelve million, twenty-one thousand, forty".