3002231031120 has 120 divisors (see below), whose sum is σ = 10675580386536. Its totient is φ = 753501118464.

The previous prime is 3002231031073. The next prime is 3002231031133. The reversal of 3002231031120 is 211301322003.

3002231031120 is a `hidden beast` number, since 3 + 0 + 0 + 22 + 310 + 311 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 312342383376 + 2689888647744 = 558876^2 + 1640088^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3002231031093 and 3002231031102.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 122627917 + ... + 122652396.

Almost surely, 2^{3002231031120} is an apocalyptic number.

3002231031120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3002231031120 is an abundant number, since it is smaller than the sum of its proper divisors (7673349355416).

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

3002231031120 is a wasteful number, since it uses less digits than its factorization.

3002231031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245280349 (or 245280340 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3002231031120 its reverse (211301322003), we get a palindrome (3213532353123).

The spelling of 3002231031120 in words is "three trillion, two billion, two hundred thirty-one million, thirty-one thousand, one hundred twenty".