201211002000 has 240 divisors, whose sum is σ = 716026033008. Its totient is φ = 52643635200.

The previous prime is 201211001989. The next prime is 201211002007. The reversal of 201211002000 is 200112102.

It can be written as a sum of positive squares in 8 ways, for example, as 112638099456 + 88572902544 = 335616^2 + 297612^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (201211002007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 848544 + ... + 1059456.

Almost surely, 2^201211002000 is an apocalyptic number.

201211002000 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 201211002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358013016504).

201211002000 is an abundant number, since it is smaller than the sum of its proper divisors (514815031008).

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

201211002000 is a wasteful number, since it uses less digits than its factorization.

201211002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210995 (or 210976 counting only the distinct ones).

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

Adding to 201211002000 its reverse (200112102), we get a palindrome (201411114102).

It can be divided in two parts, 20121 and 1002000, that added together give a square (1022121 = 1011²).

The spelling of 201211002000 in words is "two hundred one billion, two hundred eleven million, two thousand".