123641301300 has 288 divisors, whose sum is σ = 403333185024. Its totient is φ = 28983360000.

The previous prime is 123641301299. The next prime is 123641301307. The reversal of 123641301300 is 3103146321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123641301307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14327587 + ... + 14336213.

It is an arithmetic number, because the mean of its divisors is an integer number (1400462448).

Almost surely, 2^123641301300 is an apocalyptic number.

123641301300 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 123641301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201666592512).

123641301300 is an abundant number, since it is smaller than the sum of its proper divisors (279691883724).

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

123641301300 is a wasteful number, since it uses less digits than its factorization.

123641301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8799 (or 8792 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 123641301300 its reverse (3103146321), we get a palindrome (126744447621).

The spelling of 123641301300 in words is "one hundred twenty-three billion, six hundred forty-one million, three hundred one thousand, three hundred".