123201232000 has 384 divisors, whose sum is σ = 384827264640. Its totient is φ = 38396160000.

The previous prime is 123201231971. The next prime is 123201232001. The reversal of 123201232000 is 232102321.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (123201232001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13547455 + ... + 13556545.

It is an arithmetic number, because the mean of its divisors is an integer number (1002154335).

Almost surely, 2^123201232000 is an apocalyptic number.

123201232000 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 123201232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192413632320).

123201232000 is an abundant number, since it is smaller than the sum of its proper divisors (261626032640).

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

123201232000 is an equidigital number, since it uses as much as digits as its factorization.

123201232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9149 (or 9116 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 123201232000 its reverse (232102321), we get a palindrome (123433334321).

It can be divided in two parts, 12320 and 1232000, that multiplied together give a square (15178240000 = 123200²).

The spelling of 123201232000 in words is "one hundred twenty-three billion, two hundred one million, two hundred thirty-two thousand".