3001210400412 has 288 divisors, whose sum is σ = 9071864954880. Its totient is φ = 849818511360.

The previous prime is 3001210400411. The next prime is 3001210400423. The reversal of 3001210400412 is 2140040121003.

3001210400412 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 210 + 40 + 0 + 412 = 666.

3001210400412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001210400411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1442195212 + ... + 1442197292.

Almost surely, 2^{3001210400412} 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 3001210400412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535932477440).

3001210400412 is an abundant number, since it is smaller than the sum of its proper divisors (6070654554468).

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

3001210400412 is a wasteful number, since it uses less digits than its factorization.

3001210400412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 3001210400412 its reverse (2140040121003), we get a palindrome (5141250521415).

The spelling of 3001210400412 in words is "three trillion, one billion, two hundred ten million, four hundred thousand, four hundred twelve".