320101430112 has 144 divisors (see below), whose sum is σ = 934215282000. Its totient is φ = 103929080832.

The previous prime is 320101430101. The next prime is 320101430141. The reversal of 320101430112 is 211034101023.

320101430112 is a `hidden beast` number, since 3 + 20 + 101 + 430 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1765714 + ... + 1938542.

It is an arithmetic number, because the mean of its divisors is an integer number (6487606125).

Almost surely, 2^320101430112 is an apocalyptic number.

320101430112 is a gapful number since it is divisible by the number (32) 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 320101430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467107641000).

320101430112 is an abundant number, since it is smaller than the sum of its proper divisors (614113851888).

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

320101430112 is a wasteful number, since it uses less digits than its factorization.

320101430112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173013 (or 173002 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 320101430112 its reverse (211034101023), we get a palindrome (531135531135).

The spelling of 320101430112 in words is "three hundred twenty billion, one hundred one million, four hundred thirty thousand, one hundred twelve".