123005920320 has 336 divisors, whose sum is σ = 430703687232. Its totient is φ = 32216002560.

The previous prime is 123005920319. The next prime is 123005920343. The reversal of 123005920320 is 23029500321.

123005920320 is a `hidden beast` number, since 12 + 30 + 0 + 592 + 0 + 32 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43264819 + ... + 43267661.

It is an arithmetic number, because the mean of its divisors is an integer number (1281856212).

Almost surely, 2^123005920320 is an apocalyptic number.

123005920320 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 123005920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215351843616).

123005920320 is an abundant number, since it is smaller than the sum of its proper divisors (307697766912).

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

123005920320 is a wasteful number, since it uses less digits than its factorization.

123005920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 123005920320 in words is "one hundred twenty-three billion, five million, nine hundred twenty thousand, three hundred twenty".