123385000420 has 96 divisors (see below), whose sum is σ = 283794094080. Its totient is φ = 44688291840.

The previous prime is 123385000411. The next prime is 123385000441. The reversal of 123385000420 is 24000583321.

123385000420 is a nontrivial binomial coefficient, being equal to C(496760, 2).

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 31 ways as a sum of consecutive naturals, for example, 109286416 + ... + 109287544.

It is an arithmetic number, because the mean of its divisors is an integer number (2956188480).

Almost surely, 2^123385000420 is an apocalyptic number.

123385000420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123385000420 is the 496759-th triangular number and also the 248380-th hexagonal number.

123385000420 is the 165587-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123385000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141897047040).

123385000420 is an abundant number, since it is smaller than the sum of its proper divisors (160409093660).

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

123385000420 is a wasteful number, since it uses less digits than its factorization.

123385000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 123385000420 its reverse (24000583321), we get a palindrome (147385583741).

The spelling of 123385000420 in words is "one hundred twenty-three billion, three hundred eighty-five million, four hundred twenty", and thus it is an aban number.