5120012104200 has 1152 divisors, whose sum is σ = 21148903526400. Its totient is φ = 1083462082560.

The previous prime is 5120012104189. The next prime is 5120012104213. The reversal of 5120012104200 is 24012100215.

5120012104200 is a `hidden beast` number, since 5 + 120 + 0 + 121 + 0 + 420 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7496357059 + ... + 7496357741.

It is an arithmetic number, because the mean of its divisors is an integer number (18358423200).

Almost surely, 2^{5120012104200} is an apocalyptic number.

5120012104200 is a gapful number since it is divisible by the number (50) 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 5120012104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10574451763200).

5120012104200 is an abundant number, since it is smaller than the sum of its proper divisors (16028891422200).

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

5120012104200 is a wasteful number, since it uses less digits than its factorization.

5120012104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 5120012104200 its reverse (24012100215), we get a palindrome (5144024204415).

The spelling of 5120012104200 in words is "five trillion, one hundred twenty billion, twelve million, one hundred four thousand, two hundred".