201202000 has 80 divisors (see below), whose sum is σ = 503427600. Its totient is φ = 77683200.

The previous prime is 201201989. The next prime is 201202003. The reversal of 201202000 is 202102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 123832384 + 77369616 = 11128^2 + 8796^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201202003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56266 + ... + 59734.

It is an arithmetic number, because the mean of its divisors is an integer number (6292845).

Almost surely, 2^201202000 is an apocalyptic number.

201202000 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 201202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251713800).

201202000 is an abundant number, since it is smaller than the sum of its proper divisors (302225600).

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

201202000 is a wasteful number, since it uses less digits than its factorization.

201202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 201202000 is about 14184.5690805184. The cubic root of 201202000 is about 585.9727648701.

Adding to 201202000 its reverse (202102), we get a palindrome (201404102).

The spelling of 201202000 in words is "two hundred one million, two hundred two thousand".