3001121131200 has 168 divisors, whose sum is σ = 9847895201808. Its totient is φ = 800159416320.

The previous prime is 3001121131163. The next prime is 3001121131271. The reversal of 3001121131200 is 21311211003.

It is a happy number.

It is a super-2 number, since 2×3001121131200² (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 3001121131200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29098924 + ... + 29201876.

Almost surely, 2^{3001121131200} is an apocalyptic number.

3001121131200 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 3001121131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4923947600904).

3001121131200 is an abundant number, since it is smaller than the sum of its proper divisors (6846774070608).

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

3001121131200 is a wasteful number, since it uses less digits than its factorization.

3001121131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109051 (or 109036 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 3001121131200 its reverse (21311211003), we get a palindrome (3022432342203).

The spelling of 3001121131200 in words is "three trillion, one billion, one hundred twenty-one million, one hundred thirty-one thousand, two hundred".