201211003000 has 320 divisors, whose sum is σ = 553500904320. Its totient is φ = 68457312000.

The previous prime is 201211002983. The next prime is 201211003039. The reversal of 201211003000 is 300112102.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 434580769 + ... + 434581231.

It is an arithmetic number, because the mean of its divisors is an integer number (1729690326).

Almost surely, 2^201211003000 is an apocalyptic number.

201211003000 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 201211003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276750452160).

201211003000 is an abundant number, since it is smaller than the sum of its proper divisors (352289901320).

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

201211003000 is an equidigital number, since it uses as much as digits as its factorization.

201211003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 201211003000 its reverse (300112102), we get a palindrome (201511115102).

The spelling of 201211003000 in words is "two hundred one billion, two hundred eleven million, three thousand".