123312420 has 432 divisors, whose sum is σ = 501935616. Its totient is φ = 24192000.

The previous prime is 123312359. The next prime is 123312421. The reversal of 123312420 is 24213321.

123312420 is a `hidden beast` number, since 1 + 233 + 12 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123312393 and 123312402.

It is not an unprimeable number, because it can be changed into a prime (123312421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3007600 + ... + 3007640.

It is an arithmetic number, because the mean of its divisors is an integer number (1161888).

Almost surely, 2^123312420 is an apocalyptic number.

123312420 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 123312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250967808).

123312420 is an abundant number, since it is smaller than the sum of its proper divisors (378623196).

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

123312420 is a wasteful number, since it uses less digits than its factorization.

123312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 123312420 is about 11104.6125551502. The cubic root of 123312420 is about 497.7396907346.

Adding to 123312420 its reverse (24213321), we get a palindrome (147525741).

Subtracting from 123312420 its reverse (24213321), we obtain a palindrome (99099099).

The spelling of 123312420 in words is "one hundred twenty-three million, three hundred twelve thousand, four hundred twenty".