3000312002220 has 192 divisors, whose sum is σ = 9143879506944. Its totient is φ = 730651622400.

The previous prime is 3000312002189. The next prime is 3000312002231. The reversal of 3000312002220 is 222002130003.

It is a super-2 number, since 2×3000312002220² (a number of 26 digits) contains 22 as substring.

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 3000312002220.

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, 84419574 + ... + 84455106.

It is an arithmetic number, because the mean of its divisors is an integer number (47624372432).

Almost surely, 2^{3000312002220} is an apocalyptic number.

3000312002220 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 3000312002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571939753472).

3000312002220 is an abundant number, since it is smaller than the sum of its proper divisors (6143567504724).

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

3000312002220 is a wasteful number, since it uses less digits than its factorization.

3000312002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36712 (or 36710 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 3000312002220 its reverse (222002130003), we get a palindrome (3222314132223).

The spelling of 3000312002220 in words is "three trillion, three hundred twelve million, two thousand, two hundred twenty".