123301321051040 has 288 divisors, whose sum is σ = 324646120220688. Its totient is φ = 44212912128000.

The previous prime is 123301321051039. The next prime is 123301321051049. The reversal of 123301321051040 is 40150123103321.

It can be written as a sum of positive squares in 8 ways, for example, as 36846211131664 + 86455109919376 = 6070108^2 + 9298124^2 .

It is not an unprimeable number, because it can be changed into a prime (123301321051049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10448373140 + ... + 10448384940.

Almost surely, 2^{123301321051040} is an apocalyptic number.

123301321051040 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 123301321051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162323060110344).

123301321051040 is an abundant number, since it is smaller than the sum of its proper divisors (201344799169648).

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

123301321051040 is a wasteful number, since it uses less digits than its factorization.

123301321051040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19304 (or 19285 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 123301321051040 its reverse (40150123103321), we get a palindrome (163451444154361).

The spelling of 123301321051040 in words is "one hundred twenty-three trillion, three hundred one billion, three hundred twenty-one million, fifty-one thousand, forty".