3001215050120 has 128 divisors (see below), whose sum is σ = 7899099436800. Its totient is φ = 1004776206336.

The previous prime is 3001215050117. The next prime is 3001215050137. The reversal of 3001215050120 is 210505121003.

It is a happy number.

It is a super-2 number, since 2×3001215050120² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3001215050092 and 3001215050101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45345692 + ... + 45411828.

It is an arithmetic number, because the mean of its divisors is an integer number (61711714350).

Almost surely, 2^{3001215050120} 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 3001215050120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949549718400).

3001215050120 is an abundant number, since it is smaller than the sum of its proper divisors (4897884386680).

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

3001215050120 is a wasteful number, since it uses less digits than its factorization.

3001215050120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69967 (or 69963 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The spelling of 3001215050120 in words is "three trillion, one billion, two hundred fifteen million, fifty thousand, one hundred twenty".