2012010000 has 800 divisors, whose sum is σ = 8850766848. Its totient is φ = 380160000.

The previous prime is 2012009983. The next prime is 2012010001. The reversal of 2012010000 is 102102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012010001) 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 159 ways as a sum of consecutive naturals, for example, 30029967 + ... + 30030033.

Almost surely, 2^2012010000 is an apocalyptic number.

2012010000 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 2012010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425383424).

2012010000 is an abundant number, since it is smaller than the sum of its proper divisors (6838756848).

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

2012010000 is a wasteful number, since it uses less digits than its factorization.

2012010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2012010000 is about 44855.4344533636. The cubic root of 2012010000 is about 1262.4379605498.

Adding to 2012010000 its reverse (102102), we get a palindrome (2012112102).

It can be divided in two parts, 201 and 2010000, that multiplied together give a square (404010000 = 20100²).

The spelling of 2012010000 in words is "two billion, twelve million, ten thousand".