3000210120000 has 420 divisors, whose sum is σ = 11036492657476. Its totient is φ = 778429440000.

The previous prime is 3000210119987. The next prime is 3000210120007. The reversal of 3000210120000 is 210120003.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 1937463557184 + 1062746562816 = 1391928^2 + 1030896^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000210120007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13207380 + ... + 13432620.

Almost surely, 2^{3000210120000} is an apocalyptic number.

3000210120000 is a gapful number since it is divisible by the number (30) 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 3000210120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5518246328738).

3000210120000 is an abundant number, since it is smaller than the sum of its proper divisors (8036282537476).

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

3000210120000 is a wasteful number, since it uses less digits than its factorization.

3000210120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225316 (or 225288 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 3000210120000 its reverse (210120003), we get a palindrome (3000420240003).

The spelling of 3000210120000 in words is "three trillion, two hundred ten million, one hundred twenty thousand".