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12323312312112 = 243219131174719681
BaseRepresentation
bin1011001101010011111010…
…1001110001111100110000
31121122002121211020021210200
42303110332221301330300
53103401120422441422
642113130154555200
72411221111223364
oct263247651617460
947562554207720
1012323312312112
113a2131859424a
121470410438b00
136b51111c94c9
14308646ca92a4
151658570312ac
hexb353ea71f30

12323312312112 has 240 divisors, whose sum is σ = 36603248373120. Its totient is φ = 3859458969600.

The previous prime is 12323312312111. The next prime is 12323312312149. The reversal of 12323312312112 is 21121321332321.

12323312312112 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 331 + 2 + 312 + 1 + 12 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12323312312111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626142912 + ... + 626162592.

It is an arithmetic number, because the mean of its divisors is an integer number (152513534888).

Almost surely, 212323312312112 is an apocalyptic number.

12323312312112 is a gapful number since it is divisible by the number (12) 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 12323312312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18301624186560).

12323312312112 is an abundant number, since it is smaller than the sum of its proper divisors (24279936061008).

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

12323312312112 is a wasteful number, since it uses less digits than its factorization.

12323312312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21592 (or 21583 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 12323312312112 its reverse (21121321332321), we get a palindrome (33444633644433).

The spelling of 12323312312112 in words is "twelve trillion, three hundred twenty-three billion, three hundred twelve million, three hundred twelve thousand, one hundred twelve".