123050444400 has 360 divisors, whose sum is σ = 467416500096. Its totient is φ = 29792102400.

The previous prime is 123050444393. The next prime is 123050444459. The reversal of 123050444400 is 4444050321.

It is a happy number.

123050444400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2833249 + ... + 2876351.

Almost surely, 2^123050444400 is an apocalyptic number.

123050444400 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 123050444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233708250048).

123050444400 is an abundant number, since it is smaller than the sum of its proper divisors (344366055696).

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

123050444400 is a wasteful number, since it uses less digits than its factorization.

123050444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43201 (or 43187 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 123050444400 its reverse (4444050321), we get a palindrome (127494494721).

The spelling of 123050444400 in words is "one hundred twenty-three billion, fifty million, four hundred forty-four thousand, four hundred".