20212000 has 96 divisors (see below), whose sum is σ = 51577344. Its totient is φ = 7776000.

The previous prime is 20211977. The next prime is 20212001. The reversal of 20212000 is 21202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212001) 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, 123919 + ... + 124081.

It is an arithmetic number, because the mean of its divisors is an integer number (537264).

Almost surely, 2^20212000 is an apocalyptic number.

20212000 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 20212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25788672).

20212000 is an abundant number, since it is smaller than the sum of its proper divisors (31365344).

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

20212000 is a wasteful number, since it uses less digits than its factorization.

20212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 20212000 is about 4495.7757951215. The cubic root of 20212000 is about 272.3974869008.

Adding to 20212000 its reverse (21202), we get a palindrome (20233202).

The spelling of 20212000 in words is "twenty million, two hundred twelve thousand".