20301231312000 has 512 divisors, whose sum is σ = 74963315980800. Its totient is φ = 5400115200000.

The previous prime is 20301231311983. The next prime is 20301231312067. The reversal of 20301231312000 is 21313210302.

20301231312000 is a `hidden beast` number, since 20 + 301 + 2 + 31 + 312 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173173405 + ... + 173290595.

It is an arithmetic number, because the mean of its divisors is an integer number (146412726525).

Almost surely, 2^{20301231312000} is an apocalyptic number.

20301231312000 is a gapful number since it is divisible by the number (20) 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 20301231312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37481657990400).

20301231312000 is an abundant number, since it is smaller than the sum of its proper divisors (54662084668800).

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

20301231312000 is a wasteful number, since it uses less digits than its factorization.

20301231312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117630 (or 117602 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20301231312000 its reverse (21313210302), we get a palindrome (20322544522302).

The spelling of 20301231312000 in words is "twenty trillion, three hundred one billion, two hundred thirty-one million, three hundred twelve thousand".