Search a number
-
+
12079623937920 = 2735711293190887
BaseRepresentation
bin1010111111001000000110…
…1100011001111110000000
31120202210121202120020121020
42233302001230121332000
53040403032212003140
641405145211225440
72354503225222140
oct257620154317600
946683552506536
1012079623937920
113937a37885980
121431141748280
13698146944a56
142da92a824920
1515e3433a86d0
hexafc81b19f80

12079623937920 has 1024 divisors, whose sum is σ = 51262577049600. Its totient is φ = 2345295052800.

The previous prime is 12079623937883. The next prime is 12079623938117. The reversal of 12079623937920 is 2973932697021.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 132862717 + ... + 132953603.

It is an arithmetic number, because the mean of its divisors is an integer number (50061110400).

Almost surely, 212079623937920 is an apocalyptic number.

12079623937920 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 12079623937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25631288524800).

12079623937920 is an abundant number, since it is smaller than the sum of its proper divisors (39182953111680).

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

12079623937920 is a wasteful number, since it uses less digits than its factorization.

12079623937920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90987 (or 90975 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 60.

The spelling of 12079623937920 in words is "twelve trillion, seventy-nine billion, six hundred twenty-three million, nine hundred thirty-seven thousand, nine hundred twenty".