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12320121120120 = 233251116735295279
BaseRepresentation
bin1011001101001000000001…
…1100010110010101111000
31121121210101102102221100200
42303102000130112111320
53103323102001320440
642111441400402200
72411046041436552
oct263220034262570
947553342387320
1012320121120120
113a1aa302074a0
12146b87b776360
136b4a23022b18
143084231344d2
1516571bcc2c30
hexb3480716578

12320121120120 has 384 divisors, whose sum is σ = 43962766848000. Its totient is φ = 2967408138240.

The previous prime is 12320121120119. The next prime is 12320121120157. The reversal of 12320121120120 is 2102112102321.

12320121120120 is a `hidden beast` number, since 1 + 2 + 320 + 121 + 1 + 201 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12320121120093 and 12320121120102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2333795641 + ... + 2333800919.

It is an arithmetic number, because the mean of its divisors is an integer number (114486372000).

Almost surely, 212320121120120 is an apocalyptic number.

12320121120120 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 12320121120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21981383424000).

12320121120120 is an abundant number, since it is smaller than the sum of its proper divisors (31642645727880).

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

12320121120120 is a wasteful number, since it uses less digits than its factorization.

12320121120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9003 (or 8996 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12320121120120 its reverse (2102112102321), we get a palindrome (14422233222441).

The spelling of 12320121120120 in words is "twelve trillion, three hundred twenty billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twenty".