123330313212000 has 384 divisors, whose sum is σ = 405052135488000. Its totient is φ = 32804995328000.

The previous prime is 123330313211933. The next prime is 123330313212097. The reversal of 123330313212000 is 212313033321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8390380651 + ... + 8390395349.

It is an arithmetic number, because the mean of its divisors is an integer number (1054823269500).

Almost surely, 2^{123330313212000} is an apocalyptic number.

123330313212000 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 123330313212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202526067744000).

123330313212000 is an abundant number, since it is smaller than the sum of its proper divisors (281721822276000).

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

123330313212000 is a wasteful number, since it uses less digits than its factorization.

123330313212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16447 (or 16429 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 123330313212000 its reverse (212313033321), we get a palindrome (123542626245321).

It can be divided in two parts, 12333031321 and 2000, that added together give a palindrome (12333033321).

The spelling of 123330313212000 in words is "one hundred twenty-three trillion, three hundred thirty billion, three hundred thirteen million, two hundred twelve thousand".