123105034400 has 144 divisors (see below), whose sum is σ = 313993278144. Its totient is φ = 47041505280.

The previous prime is 123105034373. The next prime is 123105034483. The reversal of 123105034400 is 4430501321.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16243412 + ... + 16250988.

It is an arithmetic number, because the mean of its divisors is an integer number (2180508876).

Almost surely, 2^123105034400 is an apocalyptic number.

123105034400 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 123105034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156996639072).

123105034400 is an abundant number, since it is smaller than the sum of its proper divisors (190888243744).

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

123105034400 is a wasteful number, since it uses less digits than its factorization.

123105034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8503 (or 8490 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 123105034400 its reverse (4430501321), we get a palindrome (127535535721).

The spelling of 123105034400 in words is "one hundred twenty-three billion, one hundred five million, thirty-four thousand, four hundred".