12123020112000 has 512 divisors, whose sum is σ = 46350433958400. Its totient is φ = 2745545932800.

The previous prime is 12123020111971. The next prime is 12123020112019. The reversal of 12123020112000 is 21102032121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36458494 + ... + 36789506.

It is an arithmetic number, because the mean of its divisors is an integer number (90528191325).

Almost surely, 2^{12123020112000} is an apocalyptic number.

12123020112000 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 12123020112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23175216979200).

12123020112000 is an abundant number, since it is smaller than the sum of its proper divisors (34227413846400).

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

12123020112000 is a wasteful number, since it uses less digits than its factorization.

12123020112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331161 (or 331139 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12123020112000 its reverse (21102032121), we get a palindrome (12144122144121).

The spelling of 12123020112000 in words is "twelve trillion, one hundred twenty-three billion, twenty million, one hundred twelve thousand".