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12311212320000 = 2832541117131349
BaseRepresentation
bin1011001100100110110101…
…1011111110010100000000
31121120221101112222000001200
42303021231123332110000
53103201330323220000
642103405354101200
72410312214046426
oct263115533762400
947527345860050
1012311212320000
113a17179447070
121469bb411a800
136b3c33424969
14307c19c9d116
15165399b0d500
hexb326d6fe500

12311212320000 has 2160 divisors, whose sum is σ = 51773915793600. Its totient is φ = 2779545600000.

The previous prime is 12311212319899. The next prime is 12311212320023. The reversal of 12311212320000 is 2321211321.

12311212320000 is a `hidden beast` number, since 12 + 311 + 21 + 2 + 320 + 0 + 0 + 0 = 666.

12311212320000 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 35275679826 + ... + 35275680174.

It is an arithmetic number, because the mean of its divisors is an integer number (23969405460).

Almost surely, 212311212320000 is an apocalyptic number.

12311212320000 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 12311212320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25886957896800).

12311212320000 is an abundant number, since it is smaller than the sum of its proper divisors (39462703473600).

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

12311212320000 is a wasteful number, since it uses less digits than its factorization.

12311212320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 518 counting only the distinct ones).

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

Adding to 12311212320000 its reverse (2321211321), we get a palindrome (12313533531321).

The spelling of 12311212320000 in words is "twelve trillion, three hundred eleven billion, two hundred twelve million, three hundred twenty thousand".