2012101200 has 180 divisors, whose sum is σ = 7223702460. Its totient is φ = 518031360.

The previous prime is 2012101183. The next prime is 2012101237. The reversal of 2012101200 is 21012102.

It can be written as a sum of positive squares in 6 ways, for example, as 5419584 + 2006681616 = 2328^2 + 44796^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94764 + ... + 114036.

Almost surely, 2^2012101200 is an apocalyptic number.

2012101200 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 2012101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611851230).

2012101200 is an abundant number, since it is smaller than the sum of its proper divisors (5211601260).

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

2012101200 is a wasteful number, since it uses less digits than its factorization.

2012101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19326 (or 19312 counting only the distinct ones).

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

The square root of 2012101200 is about 44856.4510410710. The cubic root of 2012101200 is about 1262.4570347761.

Adding to 2012101200 its reverse (21012102), we get a palindrome (2033113302).

The spelling of 2012101200 in words is "two billion, twelve million, one hundred one thousand, two hundred".