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12130320233304 = 23337131937877853
BaseRepresentation
bin1011000010000100111101…
…1011011011001101011000
31120221122110212120212221000
42300201033123123031120
53042220343434431204
641444331524545000
72361246433506450
oct260411733331530
946848425525830
1012130320233304
113957492597a59
12143ab2b852160
1369cb65a27880
142dd179806d60
1516080de3d039
hexb084f6db358

12130320233304 has 512 divisors, whose sum is σ = 44833759488000. Its totient is φ = 2948908529664.

The previous prime is 12130320233233. The next prime is 12130320233309. The reversal of 12130320233304 is 40333202303121.

12130320233304 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 0 + 320 + 2 + 3 + 330 + 4 = 666.

12130320233304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130320233309) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13379242 + ... + 14257094.

It is an arithmetic number, because the mean of its divisors is an integer number (87565936500).

Almost surely, 212130320233304 is an apocalyptic number.

12130320233304 is a gapful number since it is divisible by the number (14) 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 12130320233304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22416879744000).

12130320233304 is an abundant number, since it is smaller than the sum of its proper divisors (32703439254696).

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

12130320233304 is a wasteful number, since it uses less digits than its factorization.

12130320233304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877944 (or 877934 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 12130320233304 its reverse (40333202303121), we get a palindrome (52463522536425).

The spelling of 12130320233304 in words is "twelve trillion, one hundred thirty billion, three hundred twenty million, two hundred thirty-three thousand, three hundred four".