20120020200 has 1152 divisors, whose sum is σ = 87744384000. Its totient is φ = 4025548800.

The previous prime is 20120020199. The next prime is 20120020237. The reversal of 20120020200 is 202002102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 287 ways as a sum of consecutive naturals, for example, 254683761 + ... + 254683839.

It is an arithmetic number, because the mean of its divisors is an integer number (76167000).

Almost surely, 2^20120020200 is an apocalyptic number.

20120020200 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 20120020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43872192000).

20120020200 is an abundant number, since it is smaller than the sum of its proper divisors (67624363800).

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

20120020200 is a wasteful number, since it uses less digits than its factorization.

20120020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20120020200 its reverse (202002102), we get a palindrome (20322022302).

The spelling of 20120020200 in words is "twenty billion, one hundred twenty million, twenty thousand, two hundred".