123958425600000 has 720 divisors, whose sum is σ = 459067006893600. Its totient is φ = 33055211520000.

The previous prime is 123958425599999. The next prime is 123958425600157. The reversal of 123958425600000 is 6524859321.

123958425600000 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 5 + 84 + 2 + 560 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1382355166 + ... + 1382444834.

It is an arithmetic number, because the mean of its divisors is an integer number (637593065130).

Almost surely, 2^{123958425600000} is an apocalyptic number.

123958425600000 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 123958425600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229533503446800).

123958425600000 is an abundant number, since it is smaller than the sum of its proper divisors (335108581293600).

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

123958425600000 is an frugal number, since it uses more digits than its factorization.

123958425600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89731 (or 89679 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 123958425600000 in words is "one hundred twenty-three trillion, nine hundred fifty-eight billion, four hundred twenty-five million, six hundred thousand".