123043124400 has 240 divisors, whose sum is σ = 457841434368. Its totient is φ = 27662976000.

The previous prime is 123043124389. The next prime is 123043124431. The reversal of 123043124400 is 4421340321.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×123043124400² (a number of 23 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 392335 + ... + 632465.

Almost surely, 2^123043124400 is an apocalyptic number.

123043124400 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 123043124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228920717184).

123043124400 is an abundant number, since it is smaller than the sum of its proper divisors (334798309968).

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

123043124400 is a wasteful number, since it uses less digits than its factorization.

123043124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240220 (or 240209 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 123043124400 its reverse (4421340321), we get a palindrome (127464464721).

The spelling of 123043124400 in words is "one hundred twenty-three billion, forty-three million, one hundred twenty-four thousand, four hundred".