51312202200 has 432 divisors, whose sum is σ = 202033620360. Its totient is φ = 11636352000.

The previous prime is 51312202187. The next prime is 51312202219. The reversal of 51312202200 is 220221315.

51312202200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51312202200² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11551980 + ... + 11556420.

Almost surely, 2^51312202200 is an apocalyptic number.

51312202200 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 51312202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101016810180).

51312202200 is an abundant number, since it is smaller than the sum of its proper divisors (150721418160).

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

51312202200 is a wasteful number, since it uses less digits than its factorization.

51312202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 51312202200 its reverse (220221315), we get a palindrome (51532423515).

The spelling of 51312202200 in words is "fifty-one billion, three hundred twelve million, two hundred two thousand, two hundred".