123331124400 has 480 divisors, whose sum is σ = 451685376000. Its totient is φ = 28473984000.

The previous prime is 123331124393. The next prime is 123331124401. The reversal of 123331124400 is 4421133321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (123331124401) 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, 82274851 + ... + 82276349.

It is an arithmetic number, because the mean of its divisors is an integer number (941011200).

Almost surely, 2^123331124400 is an apocalyptic number.

123331124400 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 123331124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225842688000).

123331124400 is an abundant number, since it is smaller than the sum of its proper divisors (328354251600).

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

123331124400 is a wasteful number, since it uses less digits than its factorization.

123331124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 123331124400 its reverse (4421133321), we get a palindrome (127752257721).

The spelling of 123331124400 in words is "one hundred twenty-three billion, three hundred thirty-one million, one hundred twenty-four thousand, four hundred".