201211400 has 72 divisors (see below), whose sum is σ = 506655630. Its totient is φ = 74280960.

The previous prime is 201211399. The next prime is 201211403. The reversal of 201211400 is 4112102.

It can be written as a sum of positive squares in 9 ways, for example, as 44009956 + 157201444 = 6634^2 + 12538^2 .

It is not an unprimeable number, because it can be changed into a prime (201211403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30824 + ... + 36776.

Almost surely, 2^201211400 is an apocalyptic number.

201211400 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 201211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253327815).

201211400 is an abundant number, since it is smaller than the sum of its proper divisors (305444230).

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

201211400 is a wasteful number, since it uses less digits than its factorization.

201211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5995 (or 5973 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 201211400 is about 14184.9004226325. The cubic root of 201211400 is about 585.9818901244.

Adding to 201211400 its reverse (4112102), we get a palindrome (205323502).

The spelling of 201211400 in words is "two hundred one million, two hundred eleven thousand, four hundred".