11312000200 has 96 divisors (see below), whose sum is σ = 26573700960. Its totient is φ = 4478054400.

The previous prime is 11312000179. The next prime is 11312000213. The reversal of 11312000200 is 200021311.

11312000200 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 2×11312000200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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, 8761555 + ... + 8762845.

It is an arithmetic number, because the mean of its divisors is an integer number (276809385).

Almost surely, 2^11312000200 is an apocalyptic number.

11312000200 is a gapful number since it is divisible by the number (10) 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 11312000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13286850480).

11312000200 is an abundant number, since it is smaller than the sum of its proper divisors (15261700760).

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

11312000200 is a wasteful number, since it uses less digits than its factorization.

11312000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11312000200 its reverse (200021311), we get a palindrome (11512021511).

The spelling of 11312000200 in words is "eleven billion, three hundred twelve million, two hundred", and thus it is an aban number.