123311504000 has 128 divisors (see below), whose sum is σ = 307725350400. Its totient is φ = 49140864000.

The previous prime is 123311503963. The next prime is 123311504033. The reversal of 123311504000 is 405113321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4321781 + ... + 4350219.

It is an arithmetic number, because the mean of its divisors is an integer number (2404104300).

Almost surely, 2^123311504000 is an apocalyptic number.

123311504000 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 123311504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153862675200).

123311504000 is an abundant number, since it is smaller than the sum of its proper divisors (184413846400).

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

123311504000 is an equidigital number, since it uses as much as digits as its factorization.

123311504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28739 (or 28717 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 123311504000 its reverse (405113321), we get a palindrome (123716617321).

The spelling of 123311504000 in words is "one hundred twenty-three billion, three hundred eleven million, five hundred four thousand".