123001310204500 has 576 divisors, whose sum is σ = 359857155857472. Its totient is φ = 36275097600000.

The previous prime is 123001310204459. The next prime is 123001310204503. The reversal of 123001310204500 is 5402013100321.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 98277165018256 + 24724145186244 = 9913484^2 + 4972338^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123001310204503) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 546752040 + ... + 546976960.

It is an arithmetic number, because the mean of its divisors is an integer number (624752006697).

Almost surely, 2^{123001310204500} is an apocalyptic number.

123001310204500 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 123001310204500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179928577928736).

123001310204500 is an abundant number, since it is smaller than the sum of its proper divisors (236855845652972).

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

123001310204500 is a wasteful number, since it uses less digits than its factorization.

123001310204500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225085 (or 225066 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 123001310204500 its reverse (5402013100321), we get a palindrome (128403323304821).

The spelling of 123001310204500 in words is "one hundred twenty-three trillion, one billion, three hundred ten million, two hundred four thousand, five hundred".