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123020013012 = 223134611710607
BaseRepresentation
bin111001010010010010…
…0000110110111010100
3102202112110212011112020
41302210210012313110
54003421110404022
6132303053453140
711613356600031
oct1624444066724
9382473764466
10123020013012
1148199654646
121ba131a11b0
13b7a6a87c10
145d5047c388
15330019e35c
hex1ca4906dd4

123020013012 has 48 divisors (see below), whose sum is σ = 309797951232. Its totient is φ = 37770180480.

The previous prime is 123020012981. The next prime is 123020013019. The reversal of 123020013012 is 210310020321.

It is a junction number, because it is equal to n+sod(n) for n = 123020012982 and 123020013000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123020013019) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 783388 + ... + 927219.

It is an arithmetic number, because the mean of its divisors is an integer number (6454123984).

Almost surely, 2123020013012 is an apocalyptic number.

123020013012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123020013012 is an abundant number, since it is smaller than the sum of its proper divisors (186777938220).

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

123020013012 is a wasteful number, since it uses less digits than its factorization.

123020013012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711088 (or 1711086 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 123020013012 its reverse (210310020321), we get a palindrome (333330033333).

The spelling of 123020013012 in words is "one hundred twenty-three billion, twenty million, thirteen thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 461 922 1383 1844 2766 5532 5993 11986 17979 23972 35958 71916 1710607 3421214 5131821 6842428 10263642 20527284 22237891 44475782 66713673 88951564 133427346 266854692 788589827 1577179654 2365769481 3154359308 4731538962 9463077924 10251667751 20503335502 30755003253 41006671004 61510006506 123020013012