123311232000 has 1056 divisors, whose sum is σ = 499752025344. Its totient is φ = 28975104000.

The previous prime is 123311231993. The next prime is 123311232001. The reversal of 123311232000 is 232113321.

123311232000 is a `hidden beast` number, since 1 + 2 + 331 + 12 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123311232001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 468863869 + ... + 468864131.

It is an arithmetic number, because the mean of its divisors is an integer number (473250024).

Almost surely, 2^123311232000 is an apocalyptic number.

123311232000 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 123311232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249876012672).

123311232000 is an abundant number, since it is smaller than the sum of its proper divisors (376440793344).

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

123311232000 is a wasteful number, since it uses less digits than its factorization.

123311232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123311232000 its reverse (232113321), we get a palindrome (123543345321).

The spelling of 123311232000 in words is "one hundred twenty-three billion, three hundred eleven million, two hundred thirty-two thousand".