123012032000 has 320 divisors, whose sum is σ = 360390558528. Its totient is φ = 41287680000.

The previous prime is 123012031963. The next prime is 123012032021. The reversal of 123012032000 is 230210321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9145280 + ... + 9158720.

Almost surely, 2^123012032000 is an apocalyptic number.

123012032000 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 123012032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180195279264).

123012032000 is an abundant number, since it is smaller than the sum of its proper divisors (237378526528).

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

123012032000 is a wasteful number, since it uses less digits than its factorization.

123012032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13498 (or 13472 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 123012032000 its reverse (230210321), we get a palindrome (123242242321).

The spelling of 123012032000 in words is "one hundred twenty-three billion, twelve million, thirty-two thousand".