20121200 has 120 divisors (see below), whose sum is σ = 56045520. Its totient is φ = 6860800.

The previous prime is 20121193. The next prime is 20121271. The reversal of 20121200 is 212102.

20121200 = 41³ + 42³ + ... + 95³.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 74666 + ... + 74934.

It is an arithmetic number, because the mean of its divisors is an integer number (467046).

Almost surely, 2^20121200 is an apocalyptic number.

20121200 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 20121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28022760).

20121200 is an abundant number, since it is smaller than the sum of its proper divisors (35924320).

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

20121200 is a wasteful number, since it uses less digits than its factorization.

20121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 304 counting only the distinct ones).

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

The square root of 20121200 is about 4485.6660597954. Note that the first 3 decimals coincide. The cubic root of 20121200 is about 271.9889701410.

Adding to 20121200 its reverse (212102), we get a palindrome (20333302).

The spelling of 20121200 in words is "twenty million, one hundred twenty-one thousand, two hundred".