4973112000 has 504 divisors, whose sum is σ = 18976726080. Its totient is φ = 1242931200.

The previous prime is 4973111999. The next prime is 4973112013. The reversal of 4973112000 is 2113794.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20807881 + ... + 20808119.

Almost surely, 2^4973112000 is an apocalyptic number.

4973112000 is a gapful number since it is divisible by the number (40) 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 4973112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9488363040).

4973112000 is an abundant number, since it is smaller than the sum of its proper divisors (14003614080).

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

4973112000 is a wasteful number, since it uses less digits than its factorization.

4973112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 4973112000 is about 70520.2949511699. The cubic root of 4973112000 is about 1706.9052468658.

Adding to 4973112000 its reverse (2113794), we get a palindrome (4975225794).

The spelling of 4973112000 in words is "four billion, nine hundred seventy-three million, one hundred twelve thousand".