123312455040 has 128 divisors (see below), whose sum is σ = 393164344800. Its totient is φ = 32874463232.

The previous prime is 123312455039. The next prime is 123312455041. The reversal of 123312455040 is 40554213321.

123312455040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (123312455039) and next prime (123312455041).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 123312454989 and 123312455007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123312455041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10348606 + ... + 10360514.

Almost surely, 2^123312455040 is an apocalyptic number.

123312455040 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 123312455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196582172400).

123312455040 is an abundant number, since it is smaller than the sum of its proper divisors (269851889760).

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

123312455040 is a wasteful number, since it uses less digits than its factorization.

123312455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17324 (or 17312 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 123312455040 its reverse (40554213321), we get a palindrome (163866668361).

The spelling of 123312455040 in words is "one hundred twenty-three billion, three hundred twelve million, four hundred fifty-five thousand, forty".