20051200 has 108 divisors (see below), whose sum is σ = 53669308. Its totient is φ = 7372800.

The previous prime is 20051179. The next prime is 20051221. The reversal of 20051200 is 215002.

It is an interprime number because it is at equal distance from previous prime (20051179) and next prime (20051221).

It can be written as a sum of positive squares in 6 ways, for example, as 831744 + 19219456 = 912^2 + 4384^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83080 + ... + 83320.

Almost surely, 2^20051200 is an apocalyptic number.

20051200 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 20051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26834654).

20051200 is an abundant number, since it is smaller than the sum of its proper divisors (33618108).

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

20051200 is a wasteful number, since it uses less digits than its factorization.

20051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 20051200 is about 4477.8566301301. The cubic root of 20051200 is about 271.6731945855.

Adding to 20051200 its reverse (215002), we get a palindrome (20266202).

It can be divided in two parts, 200 and 51200, that multiplied together give a square (10240000 = 3200²).

The spelling of 20051200 in words is "twenty million, fifty-one thousand, two hundred".