123431454720 has 720 divisors, whose sum is σ = 514817323020. Its totient is φ = 28203614208.

The previous prime is 123431454691. The next prime is 123431454733. The reversal of 123431454720 is 27454134321.

123431454720 is a `hidden beast` number, since 1 + 2 + 3 + 43 + 145 + 472 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121639117824 + 1792336896 = 348768^2 + 42336^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40641042 + ... + 40644078.

Almost surely, 2^123431454720 is an apocalyptic number.

123431454720 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 123431454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257408661510).

123431454720 is an abundant number, since it is smaller than the sum of its proper divisors (391385868300).

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

123431454720 is an equidigital number, since it uses as much as digits as its factorization.

123431454720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 123431454720 in words is "one hundred twenty-three billion, four hundred thirty-one million, four hundred fifty-four thousand, seven hundred twenty".