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12140120313000 = 2332532114363799
BaseRepresentation
bin1011000010101001011110…
…0011110000110010101000
31120222120202212011111221200
42300222113203300302220
53042400431300004000
641453032210404200
72362044333015411
oct260522743606250
946876685144850
1012140120313000
113960661473979
121440a05890660
136a0a681880b4
142dd8291a8808
15160bd44aa500
hexb0a978f0ca8

12140120313000 has 192 divisors, whose sum is σ = 41036190624000. Its totient is φ = 3237161558400.

The previous prime is 12140120312987. The next prime is 12140120313023. The reversal of 12140120313000 is 31302104121.

12140120313000 is a `hidden beast` number, since 1 + 214 + 0 + 120 + 31 + 300 + 0 = 666.

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, 190255101 + ... + 190318899.

It is an arithmetic number, because the mean of its divisors is an integer number (213730159500).

Almost surely, 212140120313000 is an apocalyptic number.

12140120313000 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 12140120313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20518095312000).

12140120313000 is an abundant number, since it is smaller than the sum of its proper divisors (28896070311000).

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

12140120313000 is a wasteful number, since it uses less digits than its factorization.

12140120313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84969 (or 84952 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12140120313000 its reverse (31302104121), we get a palindrome (12171422417121).

The spelling of 12140120313000 in words is "twelve trillion, one hundred forty billion, one hundred twenty million, three hundred thirteen thousand".