123300510402400 has 144 divisors (see below), whose sum is σ = 301483373829120. Its totient is φ = 49242230438400.

The previous prime is 123300510402247. The next prime is 123300510402401. The reversal of 123300510402400 is 4204015003321.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123300510402401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7986293881 + ... + 7986309319.

It is an arithmetic number, because the mean of its divisors is an integer number (2093634540480).

Almost surely, 2^{123300510402400} is an apocalyptic number.

123300510402400 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 123300510402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150741686914560).

123300510402400 is an abundant number, since it is smaller than the sum of its proper divisors (178182863426720).

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

123300510402400 is a wasteful number, since it uses less digits than its factorization.

123300510402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30597 (or 30584 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 123300510402400 its reverse (4204015003321), we get a palindrome (127504525405721).

The spelling of 123300510402400 in words is "one hundred twenty-three trillion, three hundred billion, five hundred ten million, four hundred two thousand, four hundred".