3120133302000 has 480 divisors, whose sum is σ = 12802768445376. Its totient is φ = 698211072000.

The previous prime is 3120133301941. The next prime is 3120133302079. The reversal of 3120133302000 is 2033310213.

3120133302000 is a `hidden beast` number, since 3 + 120 + 13 + 330 + 200 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1967914 + ... + 3180086.

Almost surely, 2^{3120133302000} is an apocalyptic number.

3120133302000 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 3120133302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401384222688).

3120133302000 is an abundant number, since it is smaller than the sum of its proper divisors (9682635143376).

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

3120133302000 is a wasteful number, since it uses less digits than its factorization.

3120133302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212226 (or 1212207 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3120133302000 its reverse (2033310213), we get a palindrome (3122166612213).

The spelling of 3120133302000 in words is "three trillion, one hundred twenty billion, one hundred thirty-three million, three hundred two thousand".