123301402400352 has 96 divisors (see below), whose sum is σ = 355785726409344. Its totient is φ = 37078839449600.

The previous prime is 123301402400347. The next prime is 123301402400359. The reversal of 123301402400352 is 253004204103321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123301402400359) by changing a digit.

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, 445520793 + ... + 445797464.

It is an arithmetic number, because the mean of its divisors is an integer number (3706101316764).

Almost surely, 2^{123301402400352} is an apocalyptic number.

123301402400352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123301402400352 is an abundant number, since it is smaller than the sum of its proper divisors (232484324008992).

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

123301402400352 is a wasteful number, since it uses less digits than its factorization.

123301402400352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891318412 (or 891318404 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 123301402400352 its reverse (253004204103321), we get a palindrome (376305606503673).

The spelling of 123301402400352 in words is "one hundred twenty-three trillion, three hundred one billion, four hundred two million, four hundred thousand, three hundred fifty-two".