123552714240 has 480 divisors, whose sum is σ = 454913892576. Its totient is φ = 30883184640.

The previous prime is 123552714193. The next prime is 123552714253. The reversal of 123552714240 is 42417255321.

123552714240 is a `hidden beast` number, since 1 + 23 + 552 + 7 + 1 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 123552714195 and 123552714204.

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 47 ways as a sum of consecutive naturals, for example, 129645604 + ... + 129646556.

Almost surely, 2^123552714240 is an apocalyptic number.

123552714240 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 123552714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227456946288).

123552714240 is an abundant number, since it is smaller than the sum of its proper divisors (331361178336).

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

123552714240 is a wasteful number, since it uses less digits than its factorization.

123552714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 123552714240 its reverse (42417255321), we get a palindrome (165969969561).

The spelling of 123552714240 in words is "one hundred twenty-three billion, five hundred fifty-two million, seven hundred fourteen thousand, two hundred forty".