20112000 has 128 divisors (see below), whose sum is σ = 66830400. Its totient is φ = 5350400.

The previous prime is 20111999. The next prime is 20112007. The reversal of 20112000 is 21102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 a self number, because there is not a number n which added to its sum of digits gives 20112000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47791 + ... + 48209.

Almost surely, 2^20112000 is an apocalyptic number.

20112000 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 20112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33415200).

20112000 is an abundant number, since it is smaller than the sum of its proper divisors (46718400).

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

20112000 is an equidigital number, since it uses as much as digits as its factorization.

20112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 429 counting only the distinct ones).

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

The square root of 20112000 is about 4484.6404538157. The cubic root of 20112000 is about 271.9475100558.

Adding to 20112000 its reverse (21102), we get a palindrome (20133102).

The spelling of 20112000 in words is "twenty million, one hundred twelve thousand".