320005105141200 has 120 divisors (see below), whose sum is σ = 1079034758114400. Its totient is φ = 80843394977280.

The previous prime is 320005105141193. The next prime is 320005105141201. The reversal of 320005105141200 is 2141501500023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320005105141201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7017633015 + ... + 7017678614.

It is an arithmetic number, because the mean of its divisors is an integer number (8991956317620).

Almost surely, 2^{320005105141200} is an apocalyptic number.

320005105141200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320005105141200 is an abundant number, since it is smaller than the sum of its proper divisors (759029652973200).

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

320005105141200 is a wasteful number, since it uses less digits than its factorization.

320005105141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14035311669 (or 14035311658 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 320005105141200 its reverse (2141501500023), we get a palindrome (322146606641223).

The spelling of 320005105141200 in words is "three hundred twenty trillion, five billion, one hundred five million, one hundred forty-one thousand, two hundred".