123242553431300 has 144 divisors (see below), whose sum is σ = 276599411504640. Its totient is φ = 47637312960000.

The previous prime is 123242553431273. The next prime is 123242553431329. The reversal of 123242553431300 is 3134355242321.

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, 170055710 + ... + 170778890.

It is an arithmetic number, because the mean of its divisors is an integer number (1920829246560).

Almost surely, 2^{123242553431300} is an apocalyptic number.

123242553431300 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 123242553431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138299705752320).

123242553431300 is an abundant number, since it is smaller than the sum of its proper divisors (153356858073340).

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

123242553431300 is a wasteful number, since it uses less digits than its factorization.

123242553431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723702 (or 723695 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

The spelling of 123242553431300 in words is "one hundred twenty-three trillion, two hundred forty-two billion, five hundred fifty-three million, four hundred thirty-one thousand, three hundred".