123409238316000 has 1152 divisors, whose sum is σ = 507893591761920. Its totient is φ = 25964886528000.

The previous prime is 123409238315969. The next prime is 123409238316047. The reversal of 123409238316000 is 613832904321.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2744173515 + ... + 2744218485.

It is an arithmetic number, because the mean of its divisors is an integer number (440879853960).

Almost surely, 2^{123409238316000} is an apocalyptic number.

123409238316000 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 123409238316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253946795880960).

123409238316000 is an abundant number, since it is smaller than the sum of its proper divisors (384484353445920).

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

123409238316000 is a wasteful number, since it uses less digits than its factorization.

123409238316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45385 (or 45360 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 123409238316000 in words is "one hundred twenty-three trillion, four hundred nine billion, two hundred thirty-eight million, three hundred sixteen thousand".