123001230432040 has 512 divisors, whose sum is σ = 299356839936000. Its totient is φ = 45406788710400.

The previous prime is 123001230432037. The next prime is 123001230432061. The reversal of 123001230432040 is 40234032100321.

It is a junction number, because it is equal to n+sod(n) for n = 123001230431996 and 123001230432014.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 171072642801 + ... + 171072643519.

It is an arithmetic number, because the mean of its divisors is an integer number (584681328000).

Almost surely, 2^{123001230432040} is an apocalyptic number.

123001230432040 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 123001230432040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149678419968000).

123001230432040 is an abundant number, since it is smaller than the sum of its proper divisors (176355609503960).

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

123001230432040 is a wasteful number, since it uses less digits than its factorization.

123001230432040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 123001230432040 its reverse (40234032100321), we get a palindrome (163235262532361).

The spelling of 123001230432040 in words is "one hundred twenty-three trillion, one billion, two hundred thirty million, four hundred thirty-two thousand, forty".