123517320400 has 60 divisors (see below), whose sum is σ = 312368821600. Its totient is φ = 46806560640.

The previous prime is 123517320383. The next prime is 123517320401. The reversal of 123517320400 is 4023715321.

It is a super-3 number, since 3×123517320400³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123517320401) 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 11 ways as a sum of consecutive naturals, for example, 8118540 + ... + 8133739.

Almost surely, 2^123517320400 is an apocalyptic number.

123517320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123517320400 is an abundant number, since it is smaller than the sum of its proper divisors (188851501200).

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

123517320400 is a wasteful number, since it uses less digits than its factorization.

123517320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16252316 (or 16252305 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 123517320400 in words is "one hundred twenty-three billion, five hundred seventeen million, three hundred twenty thousand, four hundred".