3013411221200 has 120 divisors (see below), whose sum is σ = 7684709497560. Its totient is φ = 1131630592000.

The previous prime is 3013411221179. The next prime is 3013411221211. The reversal of 3013411221200 is 21221143103.

It can be written as a sum of positive squares in 12 ways, for example, as 69565117504 + 2943846103696 = 263752^2 + 1715764^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2174246 + ... + 3279354.

It is an arithmetic number, because the mean of its divisors is an integer number (64039245813).

Almost surely, 2^{3013411221200} 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 3013411221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3842354748780).

3013411221200 is an abundant number, since it is smaller than the sum of its proper divisors (4671298276360).

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

3013411221200 is a wasteful number, since it uses less digits than its factorization.

3013411221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105545 (or 1105534 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 3013411221200 its reverse (21221143103), we get a palindrome (3034632364303).

The spelling of 3013411221200 in words is "three trillion, thirteen billion, four hundred eleven million, two hundred twenty-one thousand, two hundred".