123638260800 has 252 divisors, whose sum is σ = 410692406960. Its totient is φ = 32564259840.

The previous prime is 123638260799. The next prime is 123638260843. The reversal of 123638260800 is 8062836321.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33065331 + ... + 33069069.

Almost surely, 2^123638260800 is an apocalyptic number.

123638260800 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 123638260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205346203480).

123638260800 is an abundant number, since it is smaller than the sum of its proper divisors (287054146160).

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

123638260800 is an equidigital number, since it uses as much as digits as its factorization.

123638260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 123638260800 in words is "one hundred twenty-three billion, six hundred thirty-eight million, two hundred sixty thousand, eight hundred".