3000012021200 has 120 divisors (see below), whose sum is σ = 7344755639928. Its totient is φ = 1177165117440.

The previous prime is 3000012021191. The next prime is 3000012021221. The reversal of 3000012021200 is 21202100003.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 738320873536 + 2261691147664 = 859256^2 + 1503892^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242458214 + ... + 242470586.

Almost surely, 2^{3000012021200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000012021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672377819964).

3000012021200 is an abundant number, since it is smaller than the sum of its proper divisors (4344743618728).

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

3000012021200 is a wasteful number, since it uses less digits than its factorization.

3000012021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23881 (or 23870 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 3000012021200 its reverse (21202100003), we get a palindrome (3021214121203).

The spelling of 3000012021200 in words is "three trillion, twelve million, twenty-one thousand, two hundred".