320434513101200 has 60 divisors (see below), whose sum is σ = 770489219726148. Its totient is φ = 128066366822400.

The previous prime is 320434513101191. The next prime is 320434513101277. The reversal of 320434513101200 is 2101315434023.

It can be written as a sum of positive squares in 6 ways, for example, as 260463246736 + 320174049854464 = 510356^2 + 17893408^2 .

It is a super-2 number, since 2×320434513101200² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 335267261 + ... + 336221660.

Almost surely, 2^{320434513101200} is an apocalyptic number.

It is an amenable number.

320434513101200 is an abundant number, since it is smaller than the sum of its proper divisors (450054706624948).

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

320434513101200 is a wasteful number, since it uses less digits than its factorization.

320434513101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671490132 (or 671490121 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 320434513101200 its reverse (2101315434023), we get a palindrome (322535828535223).

The spelling of 320434513101200 in words is "three hundred twenty trillion, four hundred thirty-four billion, five hundred thirteen million, one hundred one thousand, two hundred".