201121200 has 360 divisors, whose sum is σ = 834732288. Its totient is φ = 43845120.

The previous prime is 201121183. The next prime is 201121229. The reversal of 201121200 is 2121102.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 579427 + ... + 579773.

Almost surely, 2^201121200 is an apocalyptic number.

201121200 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 201121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417366144).

201121200 is an abundant number, since it is smaller than the sum of its proper divisors (633611088).

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

201121200 is a wasteful number, since it uses less digits than its factorization.

201121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 201121200 is about 14181.7206290351. The cubic root of 201121200 is about 585.8943147905.

Adding to 201121200 its reverse (2121102), we get a palindrome (203242302).

It can be divided in two parts, 20112 and 1200, that added together give a palindrome (21312).

The spelling of 201121200 in words is "two hundred one million, one hundred twenty-one thousand, two hundred".