321161064120 has 384 divisors, whose sum is σ = 1160935251840. Its totient is φ = 76485980160.

The previous prime is 321161064071. The next prime is 321161064127. The reversal of 321161064120 is 21460161123.

It is a happy number.

321161064120 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 6 + 10 + 641 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321161064127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31336837 + ... + 31347083.

It is an arithmetic number, because the mean of its divisors is an integer number (3023268885).

Almost surely, 2^321161064120 is an apocalyptic number.

321161064120 is a gapful number since it is divisible by the number (30) 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 321161064120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580467625920).

321161064120 is an abundant number, since it is smaller than the sum of its proper divisors (839774187720).

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

321161064120 is a wasteful number, since it uses less digits than its factorization.

321161064120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10495 (or 10488 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 321161064120 in words is "three hundred twenty-one billion, one hundred sixty-one million, sixty-four thousand, one hundred twenty".