9920014200 has 144 divisors (see below), whose sum is σ = 33736903200. Its totient is φ = 2611814400.

The previous prime is 9920014183. The next prime is 9920014211. The reversal of 9920014200 is 24100299.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107320 + ... + 177080.

It is an arithmetic number, because the mean of its divisors is an integer number (234284050).

Almost surely, 2^9920014200 is an apocalyptic number.

9920014200 is a gapful number since it is divisible by the number (90) 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 9920014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16868451600).

9920014200 is an abundant number, since it is smaller than the sum of its proper divisors (23816889000).

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

9920014200 is a wasteful number, since it uses less digits than its factorization.

9920014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69862 (or 69850 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9920014200 is about 99599.2680695998. The cubic root of 9920014200 is about 2148.6751672185.

Adding to 9920014200 its reverse (24100299), we get a palindrome (9944114499).

The spelling of 9920014200 in words is "nine billion, nine hundred twenty million, fourteen thousand, two hundred".