20011200 has 168 divisors, whose sum is σ = 71810880. Its totient is φ = 4838400.

The previous prime is 20011177. The next prime is 20011249. The reversal of 20011200 is 211002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52611 + ... + 52989.

Almost surely, 2^20011200 is an apocalyptic number.

20011200 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 20011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35905440).

20011200 is an abundant number, since it is smaller than the sum of its proper divisors (51799680).

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

20011200 is a wasteful number, since it uses less digits than its factorization.

20011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 20011200 is about 4473.3879778083. The cubic root of 20011200 is about 271.4924213330.

Adding to 20011200 its reverse (211002), we get a palindrome (20222202).

The spelling of 20011200 in words is "twenty million, eleven thousand, two hundred".