123978240 has 120 divisors (see below), whose sum is σ = 429451308. Its totient is φ = 33054720.

The previous prime is 123978233. The next prime is 123978241. The reversal of 123978240 is 42879321.

It can be written as a sum of positive squares in 2 ways, for example, as 120824064 + 3154176 = 10992^2 + 1776^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 123978195 and 123978204.

It is not an unprimeable number, because it can be changed into a prime (123978241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20350 + ... + 25730.

Almost surely, 2^123978240 is an apocalyptic number.

123978240 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 123978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214725654).

123978240 is an abundant number, since it is smaller than the sum of its proper divisors (305473068).

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

123978240 is an equidigital number, since it uses as much as digits as its factorization.

123978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5410 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 123978240 is about 11134.5516299490. The cubic root of 123978240 is about 498.6339244074.

The spelling of 123978240 in words is "one hundred twenty-three million, nine hundred seventy-eight thousand, two hundred forty".