123032003001000 has 512 divisors, whose sum is σ = 415447706419200. Its totient is φ = 30211626240000.

The previous prime is 123032003000957. The next prime is 123032003001113. The reversal of 123032003001000 is 100300230321.

123032003001000 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 (15).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 633229869 + ... + 633424131.

It is an arithmetic number, because the mean of its divisors is an integer number (811421301600).

Almost surely, 2^{123032003001000} is an apocalyptic number.

123032003001000 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 123032003001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207723853209600).

123032003001000 is an abundant number, since it is smaller than the sum of its proper divisors (292415703418200).

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

123032003001000 is a wasteful number, since it uses less digits than its factorization.

123032003001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194618 (or 194604 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 123032003001000 its reverse (100300230321), we get a palindrome (123132303231321).

The spelling of 123032003001000 in words is "one hundred twenty-three trillion, thirty-two billion, three million, one thousand".