123031312000 has 256 divisors, whose sum is σ = 334350581760. Its totient is φ = 44820480000.

The previous prime is 123031311979. The next prime is 123031312007. The reversal of 123031312000 is 213130321.

123031312000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (123031312007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8424705 + ... + 8439295.

It is an arithmetic number, because the mean of its divisors is an integer number (1306056960).

Almost surely, 2^123031312000 is an apocalyptic number.

123031312000 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 123031312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167175290880).

123031312000 is an abundant number, since it is smaller than the sum of its proper divisors (211319269760).

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

123031312000 is a wasteful number, since it uses less digits than its factorization.

123031312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14668 (or 14646 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 123031312000 its reverse (213130321), we get a palindrome (123244442321).

The spelling of 123031312000 in words is "one hundred twenty-three billion, thirty-one million, three hundred twelve thousand".