51120104200 has 288 divisors, whose sum is σ = 139492634400. Its totient is φ = 17358105600.

The previous prime is 51120104197. The next prime is 51120104261. The reversal of 51120104200 is 240102115.

It is a super-2 number, since 2×51120104200² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33564639 + ... + 33566161.

It is an arithmetic number, because the mean of its divisors is an integer number (484349425).

Almost surely, 2^51120104200 is an apocalyptic number.

51120104200 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 51120104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69746317200).

51120104200 is an abundant number, since it is smaller than the sum of its proper divisors (88372530200).

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

51120104200 is a wasteful number, since it uses less digits than its factorization.

51120104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 51120104200 its reverse (240102115), we get a palindrome (51360206315).

The spelling of 51120104200 in words is "fifty-one billion, one hundred twenty million, one hundred four thousand, two hundred".