123001330320000 has 960 divisors, whose sum is σ = 486494890801920. Its totient is φ = 29818272000000.

The previous prime is 123001330319957. The next prime is 123001330320007. The reversal of 123001330320000 is 23033100321.

123001330320000 is a `hidden beast` number, since 1 + 2 + 300 + 1 + 330 + 32 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (123001330320007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 958255825 + ... + 958384175.

It is an arithmetic number, because the mean of its divisors is an integer number (506765511252).

Almost surely, 2^{123001330320000} is an apocalyptic number.

123001330320000 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 123001330320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243247445400960).

123001330320000 is an abundant number, since it is smaller than the sum of its proper divisors (363493560481920).

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

123001330320000 is an equidigital number, since it uses as much as digits as its factorization.

123001330320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128424 (or 128372 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 123001330320000 its reverse (23033100321), we get a palindrome (123024363420321).

The spelling of 123001330320000 in words is "one hundred twenty-three trillion, one billion, three hundred thirty million, three hundred twenty thousand".