123414154250240 has 192 divisors, whose sum is σ = 338817070126080. Its totient is φ = 42264372510720.

The previous prime is 123414154250197. The next prime is 123414154250251. The reversal of 123414154250240 is 42052451414321.

It is a junction number, because it is equal to n+sod(n) for n = 123414154250194 and 123414154250203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60862310 + ... + 62857370.

It is an arithmetic number, because the mean of its divisors is an integer number (1764672240240).

Almost surely, 2^{123414154250240} is an apocalyptic number.

123414154250240 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 123414154250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169408535063040).

123414154250240 is an abundant number, since it is smaller than the sum of its proper divisors (215402915875840).

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

123414154250240 is an equidigital number, since it uses as much as digits as its factorization.

123414154250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995958 (or 1995938 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

The spelling of 123414154250240 in words is "one hundred twenty-three trillion, four hundred fourteen billion, one hundred fifty-four million, two hundred fifty thousand, two hundred forty".