12345350042112 has 160 divisors (see below), whose sum is σ = 33142252581504. Its totient is φ = 4083471974400.

The previous prime is 12345350042107. The next prime is 12345350042141. The reversal of 12345350042112 is 21124005354321.

It is a super-3 number, since 3×12345350042112³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183483037 + ... + 183550307.

Almost surely, 2^{12345350042112} is an apocalyptic number.

12345350042112 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 12345350042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16571126290752).

12345350042112 is an abundant number, since it is smaller than the sum of its proper divisors (20796902539392).

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

12345350042112 is an equidigital number, since it uses as much as digits as its factorization.

12345350042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68210 (or 68194 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 12345350042112 its reverse (21124005354321), we get a palindrome (33469355396433).

The spelling of 12345350042112 in words is "twelve trillion, three hundred forty-five billion, three hundred fifty million, forty-two thousand, one hundred twelve".