123132240 has 240 divisors, whose sum is σ = 515788416. Its totient is φ = 25574400.

The previous prime is 123132211. The next prime is 123132257. The reversal of 123132240 is 42231321.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54330 + ... + 56550.

Almost surely, 2^123132240 is an apocalyptic number.

123132240 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 123132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257894208).

123132240 is an abundant number, since it is smaller than the sum of its proper divisors (392656176).

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

123132240 is a wasteful number, since it uses less digits than its factorization.

123132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 2249 counting only the distinct ones).

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

The square root of 123132240 is about 11096.4967444685. The cubic root of 123132240 is about 497.4971456786.

Adding to 123132240 its reverse (42231321), we get a palindrome (165363561).

The spelling of 123132240 in words is "one hundred twenty-three million, one hundred thirty-two thousand, two hundred forty".