123004518400 has 171 divisors, whose sum is σ = 307293523579. Its totient is φ = 48842670080.

The previous prime is 123004518383. The next prime is 123004518409. The reversal of 123004518400 is 4815400321.

The square root of 123004518400 is 350720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 358875136 + 122645643264 = 18944^2 + 350208^2 .

It is a super-2 number, since 2×123004518400² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123004518409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 897843132 + ... + 897843268.

Almost surely, 2^123004518400 is an apocalyptic number.

123004518400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123004518400 is the 350720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123004518400

123004518400 is an abundant number, since it is smaller than the sum of its proper divisors (184289005179).

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

123004518400 is an frugal number, since it uses more digits than its factorization.

123004518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 123004518400 its reverse (4815400321), we get a palindrome (127819918721).

The spelling of 123004518400 in words is "one hundred twenty-three billion, four million, five hundred eighteen thousand, four hundred".