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12301210032012 = 223311192063264167
BaseRepresentation
bin1011001100000001100101…
…0000010001011110001100
31121112222120110220010102000
42303000121100101132030
53103020334232011022
642055033050232300
72406506311025106
oct263003120213614
947488513803360
1012301210032012
113a12a0640a060
121468082425690
136b2ccb115c65
1430754b702576
15164eb194c6ac
hexb301941178c

12301210032012 has 192 divisors, whose sum is σ = 36640312934400. Its totient is φ = 3529722692160.

The previous prime is 12301210031969. The next prime is 12301210032043. The reversal of 12301210032012 is 21023001210321.

12301210032012 is a `hidden beast` number, since 1 + 230 + 1 + 2 + 100 + 320 + 12 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46433953 + ... + 46698119.

It is an arithmetic number, because the mean of its divisors is an integer number (190834963200).

Almost surely, 212301210032012 is an apocalyptic number.

12301210032012 is a gapful number since it is divisible by the number (12) 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 12301210032012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18320156467200).

12301210032012 is an abundant number, since it is smaller than the sum of its proper divisors (24339102902388).

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

12301210032012 is a wasteful number, since it uses less digits than its factorization.

12301210032012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266273 (or 266265 counting only the distinct ones).

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

Adding to 12301210032012 its reverse (21023001210321), we get a palindrome (33324211242333).

The spelling of 12301210032012 in words is "twelve trillion, three hundred one billion, two hundred ten million, thirty-two thousand, twelve".