123321420 has 192 divisors, whose sum is σ = 404490240. Its totient is φ = 31159296.

The previous prime is 123321361. The next prime is 123321437. The reversal of 123321420 is 24123321.

It is a super-3 number, since 3×123321420³ (a number of 25 digits) contains 333 as substring.

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 = 123321393 and 123321402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1091284 + ... + 1091396.

It is an arithmetic number, because the mean of its divisors is an integer number (2106720).

Almost surely, 2^123321420 is an apocalyptic number.

123321420 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 123321420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202245120).

123321420 is an abundant number, since it is smaller than the sum of its proper divisors (281168820).

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

123321420 is a wasteful number, since it uses less digits than its factorization.

123321420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 213 counting only the distinct ones).

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

The square root of 123321420 is about 11105.0177847674. The cubic root of 123321420 is about 497.7517996750.

Adding to 123321420 its reverse (24123321), we get a palindrome (147444741).

The spelling of 123321420 in words is "one hundred twenty-three million, three hundred twenty-one thousand, four hundred twenty".