123480000 has 420 divisors, whose sum is σ = 515772400. Its totient is φ = 28224000.

The previous prime is 123479971. The next prime is 123480023. The reversal of 123480000 is 84321.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 17639997 + ... + 17640003.

Almost surely, 2^123480000 is an apocalyptic number.

123480000 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 123480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257886200).

123480000 is an abundant number, since it is smaller than the sum of its proper divisors (392292400).

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

123480000 is an frugal number, since it uses more digits than its factorization.

123480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 123480000 is about 11112.1555064713. The cubic root of 123480000 is about 497.9650626286.

The spelling of 123480000 in words is "one hundred twenty-three million, four hundred eighty thousand".