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12014061808320 = 2634511134321753
BaseRepresentation
bin1010111011010011110111…
…1000101110101011000000
31120112112101121211222110000
42232310331320232223000
53033314244310331240
641315103411240000
72346662436266145
oct256647570565300
946475347758400
1012014061808320
1139121537595a0
1214204a4ba9000
13691bc8a5c820
142d76ab3843cc
1515c7a76b2430
hexaed3de2eac0

12014061808320 has 1680 divisors, whose sum is σ = 51431575279392. Its totient is φ = 2624441057280.

The previous prime is 12014061808319. The next prime is 12014061808327. The reversal of 12014061808320 is 2380816041021.

12014061808320 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 4 + 0 + 618 + 0 + 8 + 32 + 0 = 666.

It is a super-2 number, since 2×120140618083202 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12014061808327) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6853428564 + ... + 6853430316.

Almost surely, 212014061808320 is an apocalyptic number.

12014061808320 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 12014061808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25715787639696).

12014061808320 is an abundant number, since it is smaller than the sum of its proper divisors (39417513471072).

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

12014061808320 is a wasteful number, since it uses less digits than its factorization.

12014061808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 12014061808320 its reverse (2380816041021), we get a palindrome (14394877849341).

The spelling of 12014061808320 in words is "twelve trillion, fourteen billion, sixty-one million, eight hundred eight thousand, three hundred twenty".