2012202000 has 200 divisors, whose sum is σ = 7268807832. Its totient is φ = 536544000.

The previous prime is 2012201993. The next prime is 2012202001. The reversal of 2012202000 is 2022102.

It can be written as a sum of positive squares in 4 ways, for example, as 16257024 + 1995944976 = 4032^2 + 44676^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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 (2012202001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 155790 + ... + 168210.

Almost surely, 2^2012202000 is an apocalyptic number.

2012202000 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 2012202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3634403916).

2012202000 is an abundant number, since it is smaller than the sum of its proper divisors (5256605832).

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

2012202000 is a wasteful number, since it uses less digits than its factorization.

2012202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12456 (or 12431 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2012202000 is about 44857.5746112070. The cubic root of 2012202000 is about 1262.4781161452.

Adding to 2012202000 its reverse (2022102), we get a palindrome (2014224102).

The spelling of 2012202000 in words is "two billion, twelve million, two hundred two thousand".