123123331222000 has 240 divisors, whose sum is σ = 321258415645440. Its totient is φ = 45588430272000.

The previous prime is 123123331221983. The next prime is 123123331222007. The reversal of 123123331222000 is 222133321321.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123123331222007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30921006 + ... + 34674994.

It is an arithmetic number, because the mean of its divisors is an integer number (1338576731856).

Almost surely, 2^{123123331222000} is an apocalyptic number.

123123331222000 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 123123331222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160629207822720).

123123331222000 is an abundant number, since it is smaller than the sum of its proper divisors (198135084423440).

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

123123331222000 is a wasteful number, since it uses less digits than its factorization.

123123331222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754089 (or 3754050 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 123123331222000 its reverse (222133321321), we get a palindrome (123345464543321).

The spelling of 123123331222000 in words is "one hundred twenty-three trillion, one hundred twenty-three billion, three hundred thirty-one million, two hundred twenty-two thousand".