123305410532340 has 288 divisors, whose sum is σ = 387678292485120. Its totient is φ = 31690049126400.

The previous prime is 123305410532299. The next prime is 123305410532383. The reversal of 123305410532340 is 43235014503321.

123305410532340 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 0 + 5 + 410 + 5 + 3 + 234 + 0 = 666.

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 = 123305410532295 and 123305410532304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11789402031 + ... + 11789412489.

It is an arithmetic number, because the mean of its divisors is an integer number (1346105182240).

Almost surely, 2^{123305410532340} is an apocalyptic number.

123305410532340 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 123305410532340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193839146242560).

123305410532340 is an abundant number, since it is smaller than the sum of its proper divisors (264372881952780).

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

123305410532340 is a wasteful number, since it uses less digits than its factorization.

123305410532340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18983 (or 18978 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 123305410532340 in words is "one hundred twenty-three trillion, three hundred five billion, four hundred ten million, five hundred thirty-two thousand, three hundred forty".