3133152120120 has 256 divisors, whose sum is σ = 10712575296000. Its totient is φ = 726098688000.

The previous prime is 3133152120053. The next prime is 3133152120121. The reversal of 3133152120120 is 210212513313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133152120121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3461091 + ... + 4271469.

It is an arithmetic number, because the mean of its divisors is an integer number (41845997250).

Almost surely, 2^{3133152120120} is an apocalyptic number.

3133152120120 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 3133152120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356287648000).

3133152120120 is an abundant number, since it is smaller than the sum of its proper divisors (7579423175880).

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

3133152120120 is a wasteful number, since it uses less digits than its factorization.

3133152120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810534 (or 810530 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 3133152120120 its reverse (210212513313), we get a palindrome (3343364633433).

The spelling of 3133152120120 in words is "three trillion, one hundred thirty-three billion, one hundred fifty-two million, one hundred twenty thousand, one hundred twenty".