10031123200 has 324 divisors, whose sum is σ = 29905273440. Its totient is φ = 3317637120.

The previous prime is 10031123159. The next prime is 10031123203. The reversal of 10031123200 is 232113001.

It is not an unprimeable number, because it can be changed into a prime (10031123203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9093849 + ... + 9094951.

Almost surely, 2^10031123200 is an apocalyptic number.

10031123200 is a gapful number since it is divisible by the number (10) 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 10031123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14952636720).

10031123200 is an abundant number, since it is smaller than the sum of its proper divisors (19874150240).

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

10031123200 is a wasteful number, since it uses less digits than its factorization.

10031123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10031123200 its reverse (232113001), we get a palindrome (10263236201).

The spelling of 10031123200 in words is "ten billion, thirty-one million, one hundred twenty-three thousand, two hundred".