4813252120120 has 64 divisors (see below), whose sum is σ = 10867310438400. Its totient is φ = 1918638449280.

The previous prime is 4813252120099. The next prime is 4813252120123. The reversal of 4813252120120 is 210212523184.

It is a happy number.

It is a super-3 number, since 3×4813252120120³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4813252120123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52936537 + ... + 53027383.

It is an arithmetic number, because the mean of its divisors is an integer number (169801725600).

Almost surely, 2^{4813252120120} is an apocalyptic number.

4813252120120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4813252120120 is an abundant number, since it is smaller than the sum of its proper divisors (6054058318280).

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

4813252120120 is a wasteful number, since it uses less digits than its factorization.

4813252120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95428 (or 95424 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 4813252120120 in words is "four trillion, eight hundred thirteen billion, two hundred fifty-two million, one hundred twenty thousand, one hundred twenty".