123405714432 has 1320 divisors, whose sum is σ = 503643552480. Its totient is φ = 29587783680.

The previous prime is 123405714431. The next prime is 123405714433. The reversal of 123405714432 is 234417504321.

123405714432 is a `hidden beast` number, since 1 + 2 + 3 + 40 + 571 + 4 + 43 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (123405714431) and next prime (123405714433).

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

It is not an unprimeable number, because it can be changed into a prime (123405714431) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9492747258 + ... + 9492747270.

Almost surely, 2^123405714432 is an apocalyptic number.

123405714432 is a gapful number since it is divisible by the number (12) 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 123405714432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251821776240).

123405714432 is an abundant number, since it is smaller than the sum of its proper divisors (380237838048).

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

123405714432 is an equidigital number, since it uses as much as digits as its factorization.

123405714432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 36 counting only the distinct ones).

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

The spelling of 123405714432 in words is "one hundred twenty-three billion, four hundred five million, seven hundred fourteen thousand, four hundred thirty-two".