123321500735400 has 2304 divisors, whose sum is σ = 507829396838400. Its totient is φ = 27497885184000.

The previous prime is 123321500735383. The next prime is 123321500735401. The reversal of 123321500735400 is 4537005123321.

123321500735400 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 215 + 0 + 0 + 7 + 35 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (123321500735401) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 113035288855 + ... + 113035289945.

It is an arithmetic number, because the mean of its divisors is an integer number (220412064600).

Almost surely, 2^{123321500735400} is an apocalyptic number.

123321500735400 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 123321500735400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253914698419200).

123321500735400 is an abundant number, since it is smaller than the sum of its proper divisors (384507896103000).

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

123321500735400 is a wasteful number, since it uses less digits than its factorization.

123321500735400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 123321500735400 its reverse (4537005123321), we get a palindrome (127858505858721).

The spelling of 123321500735400 in words is "one hundred twenty-three trillion, three hundred twenty-one billion, five hundred million, seven hundred thirty-five thousand, four hundred".