20212800 has 84 divisors (see below), whose sum is σ = 66330576. Its totient is φ = 5388800.

The previous prime is 20212799. The next prime is 20212807. The reversal of 20212800 is 821202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20212800.

It is not an unprimeable number, because it can be changed into a prime (20212807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2695 + ... + 6905.

Almost surely, 2^20212800 is an apocalyptic number.

20212800 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 20212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33165288).

20212800 is an abundant number, since it is smaller than the sum of its proper divisors (46117776).

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

20212800 is a wasteful number, since it uses less digits than its factorization.

20212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4236 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 20212800 is about 4495.8647666495. The cubic root of 20212800 is about 272.4010807248.

It can be divided in two parts, 20212 and 800, that added together give a palindrome (21012).

The spelling of 20212800 in words is "twenty million, two hundred twelve thousand, eight hundred".