1011111200 has 144 divisors (see below), whose sum is σ = 2725138080. Its totient is φ = 363264000.

The previous prime is 1011111197. The next prime is 1011111203. The reversal of 1011111200 is 21111101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1011111197) and next prime (1011111203).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (1011111203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 782555 + ... + 783845.

It is an arithmetic number, because the mean of its divisors is an integer number (18924570).

Almost surely, 2^1011111200 is an apocalyptic number.

1011111200 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 1011111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362569040).

1011111200 is an abundant number, since it is smaller than the sum of its proper divisors (1714026880).

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

1011111200 is a wasteful number, since it uses less digits than its factorization.

1011111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 1011111200 is about 31797.9747782779. The cubic root of 1011111200 is about 1003.6900997480.

Adding to 1011111200 its reverse (21111101), we get a palindrome (1032222301).

Subtracting from 1011111200 its reverse (21111101), we obtain a palindrome (990000099).

It can be divided in two parts, 1011 and 111200, that added together give a palindrome (112211).

The spelling of 1011111200 in words is "one billion, eleven million, one hundred eleven thousand, two hundred".