123381792000 has 1152 divisors, whose sum is σ = 483193751040. Its totient is φ = 31352832000.

The previous prime is 123381791987. The next prime is 123381792019. The reversal of 123381792000 is 297183321.

123381792000 is a `hidden beast` number, since 1 + 2 + 3 + 381 + 79 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2869343979 + ... + 2869344021.

It is an arithmetic number, because the mean of its divisors is an integer number (419439020).

Almost surely, 2^123381792000 is an apocalyptic number.

123381792000 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 123381792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241596875520).

123381792000 is an abundant number, since it is smaller than the sum of its proper divisors (359811959040).

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

123381792000 is an frugal number, since it uses more digits than its factorization.

123381792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 123381792000 in words is "one hundred twenty-three billion, three hundred eighty-one million, seven hundred ninety-two thousand".