2012010021200 has 60 divisors (see below), whose sum is σ = 4850352153948. Its totient is φ = 802057190400.

The previous prime is 2012010021193. The next prime is 2012010021209. The reversal of 2012010021200 is 21200102102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10837642816 + 2001172378384 = 104104^2 + 1414628^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012010021209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8466461 + ... + 8700860.

Almost surely, 2^{2012010021200} is an apocalyptic number.

2012010021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012010021200 is an abundant number, since it is smaller than the sum of its proper divisors (2838342132748).

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

2012010021200 is a wasteful number, since it uses less digits than its factorization.

2012010021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17167632 (or 17167621 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2012010021200 its reverse (21200102102), we get a palindrome (2033210123302).

The spelling of 2012010021200 in words is "two trillion, twelve billion, ten million, twenty-one thousand, two hundred".