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12001808318080 = 275723263442879
BaseRepresentation
bin1010111010100110001110…
…0001010111111010000000
31120111100202122202011212011
42232221203201113322000
53033114200412134310
641305315444342304
72346046666322620
oct256514341277200
946440678664764
1012001808318080
113907a359aaa59
12141a0453a4994
136909c5232a99
142d6c67c1c880
1515c2dba6d78a
hexaea63857e80

12001808318080 has 256 divisors, whose sum is σ = 34346513203200. Its totient is φ = 3921022144512.

The previous prime is 12001808317987. The next prime is 12001808318107. The reversal of 12001808318080 is 8081380810021.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26878081 + ... + 27320959.

It is an arithmetic number, because the mean of its divisors is an integer number (134166067200).

Almost surely, 212001808318080 is an apocalyptic number.

12001808318080 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 12001808318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17173256601600).

12001808318080 is an abundant number, since it is smaller than the sum of its proper divisors (22344704885120).

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

12001808318080 is a wasteful number, since it uses less digits than its factorization.

12001808318080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443191 (or 443179 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 40.

The spelling of 12001808318080 in words is "twelve trillion, one billion, eight hundred eight million, three hundred eighteen thousand, eighty".