3011205120 has 768 divisors, whose sum is σ = 12831436800. Its totient is φ = 583925760.

The previous prime is 3011205097. The next prime is 3011205133. The reversal of 3011205120 is 215021103.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3011205120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44943327 + ... + 44943393.

It is an arithmetic number, because the mean of its divisors is an integer number (16707600).

Almost surely, 2^3011205120 is an apocalyptic number.

3011205120 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 3011205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415718400).

3011205120 is an abundant number, since it is smaller than the sum of its proper divisors (9820231680).

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

3011205120 is a wasteful number, since it uses less digits than its factorization.

3011205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 3011205120 is about 54874.4486988252. The cubic root of 3011205120 is about 1444.0429593090.

Adding to 3011205120 its reverse (215021103), we get a palindrome (3226226223).

The spelling of 3011205120 in words is "three billion, eleven million, two hundred five thousand, one hundred twenty".