3001141220 has 108 divisors (see below), whose sum is σ = 8058754620. Its totient is φ = 935383680.

The previous prime is 3001141207. The next prime is 3001141229. The reversal of 3001141220 is 221411003.

It can be written as a sum of positive squares in 2 ways, for example, as 1446889444 + 1554251776 = 38038^2 + 39424^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 3001141195 and 3001141204.

It is not an unprimeable number, because it can be changed into a prime (3001141229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105926 + ... + 131234.

Almost surely, 2^3001141220 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 3001141220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029377310).

3001141220 is an abundant number, since it is smaller than the sum of its proper divisors (5057613400).

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

3001141220 is a wasteful number, since it uses less digits than its factorization.

3001141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25354 (or 25334 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 3001141220 is about 54782.6726255666. The cubic root of 3001141220 is about 1442.4324275732.

Adding to 3001141220 its reverse (221411003), we get a palindrome (3222552223).

The spelling of 3001141220 in words is "three billion, one million, one hundred forty-one thousand, two hundred twenty".