511012200 has 96 divisors (see below), whose sum is σ = 1617932160. Its totient is φ = 133363200.

The previous prime is 511012193. The next prime is 511012207. The reversal of 511012200 is 2210115.

It is an interprime number because it is at equal distance from previous prime (511012193) and next prime (511012207).

It is a super-2 number, since 2×511012200² = 522266937097680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (511012207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19140 + ... + 37260.

It is an arithmetic number, because the mean of its divisors is an integer number (16853460).

Almost surely, 2^511012200 is an apocalyptic number.

511012200 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 511012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808966080).

511012200 is an abundant number, since it is smaller than the sum of its proper divisors (1106919960).

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

511012200 is a wasteful number, since it uses less digits than its factorization.

511012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18187 (or 18178 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 511012200 is about 22605.5789574167. The cubic root of 511012200 is about 799.4851896172.

Adding to 511012200 its reverse (2210115), we get a palindrome (513222315).

It can be divided in two parts, 51101 and 2200, that added together give a triangular number (53301 = T₃₂₆).

The spelling of 511012200 in words is "five hundred eleven million, twelve thousand, two hundred".