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12310201320120 = 233251197167191903
BaseRepresentation
bin1011001100100011000100…
…1011010100001010111000
31121120211210002120212221200
42303020301023110022320
53103142243014220440
642103121200534200
72410245156513054
oct263106113241270
947524702525850
1012310201320120
113a167aa79a980
121469971621360
136b3b01b35a92
14307b618cac64
1516533aea7c30
hexb32312d42b8

12310201320120 has 384 divisors, whose sum is σ = 44359484682240. Its totient is φ = 2935824261120.

The previous prime is 12310201320077. The next prime is 12310201320127. The reversal of 12310201320120 is 2102310201321.

12310201320120 is a `hidden beast` number, since 1 + 2 + 310 + 20 + 1 + 320 + 12 + 0 = 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 = 12310201320093 and 12310201320102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12310201320127) by changing a digit.

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, 64052089 + ... + 64243991.

It is an arithmetic number, because the mean of its divisors is an integer number (115519491360).

Almost surely, 212310201320120 is an apocalyptic number.

12310201320120 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 12310201320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22179742341120).

12310201320120 is an abundant number, since it is smaller than the sum of its proper divisors (32049283362120).

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

12310201320120 is a wasteful number, since it uses less digits than its factorization.

12310201320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192195 (or 192188 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12310201320120 its reverse (2102310201321), we get a palindrome (14412511521441).

The spelling of 12310201320120 in words is "twelve trillion, three hundred ten billion, two hundred one million, three hundred twenty thousand, one hundred twenty".