123820224000 has 640 divisors, whose sum is σ = 468805708800. Its totient is φ = 28700672000.

The previous prime is 123820223993. The next prime is 123820224037. The reversal of 123820224000 is 422028321.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48574726 + ... + 48577274.

It is an arithmetic number, because the mean of its divisors is an integer number (732508920).

Almost surely, 2^123820224000 is an apocalyptic number.

123820224000 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 123820224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234402854400).

123820224000 is an abundant number, since it is smaller than the sum of its proper divisors (344985484800).

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

123820224000 is a wasteful number, since it uses less digits than its factorization.

123820224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 123820224000 in words is "one hundred twenty-three billion, eight hundred twenty million, two hundred twenty-four thousand".