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12169296946992 = 2433143597344159
BaseRepresentation
bin1011000100010110001010…
…0111110010011100110000
31121002101002020011002111110
42301011202213302130300
53043340210004300432
641514255311113320
72364126344222313
oct261054247623460
947071066132443
1012169296946992
113971a73967929
1214465a8b12840
136a3737aa8a73
14300dd612497a
15161840b93dcc
hexb11629f2730

12169296946992 has 320 divisors, whose sum is σ = 34232323276800. Its totient is φ = 3717580769280.

The previous prime is 12169296946969. The next prime is 12169296946999. The reversal of 12169296946992 is 29964969296121.

It is not an unprimeable number, because it can be changed into a prime (12169296946999) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275557009 + ... + 275601167.

It is an arithmetic number, because the mean of its divisors is an integer number (106976010240).

Almost surely, 212169296946992 is an apocalyptic number.

12169296946992 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 12169296946992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17116161638400).

12169296946992 is an abundant number, since it is smaller than the sum of its proper divisors (22063026329808).

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

12169296946992 is a wasteful number, since it uses less digits than its factorization.

12169296946992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44376 (or 44370 counting only the distinct ones).

The product of its digits is 408146688, while the sum is 75.

The spelling of 12169296946992 in words is "twelve trillion, one hundred sixty-nine billion, two hundred ninety-six million, nine hundred forty-six thousand, nine hundred ninety-two".