4812124920800 has 72 divisors (see below), whose sum is σ = 11750454547776. Its totient is φ = 1924382243840.

The previous prime is 4812124920791. The next prime is 4812124920803. The reversal of 4812124920800 is 80294212184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4812124920803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2572844 + ... + 4030356.

It is an arithmetic number, because the mean of its divisors is an integer number (163200757608).

Almost surely, 2^{4812124920800} is an apocalyptic number.

4812124920800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4812124920800 is an abundant number, since it is smaller than the sum of its proper divisors (6938329626976).

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

4812124920800 is a wasteful number, since it uses less digits than its factorization.

4812124920800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461660 (or 1461647 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The spelling of 4812124920800 in words is "four trillion, eight hundred twelve billion, one hundred twenty-four million, nine hundred twenty thousand, eight hundred".