11011301200 has 120 divisors (see below), whose sum is σ = 28540246968. Its totient is φ = 4067082240.

The previous prime is 11011301123. The next prime is 11011301209. The reversal of 11011301200 is 210311011.

It can be written as a sum of positive squares in 12 ways, for example, as 2004531984 + 9006769216 = 44772^2 + 94904^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011301209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345124 + ... + 375676.

Almost surely, 2^11011301200 is an apocalyptic number.

11011301200 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 11011301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14270123484).

11011301200 is an abundant number, since it is smaller than the sum of its proper divisors (17528945768).

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

11011301200 is a wasteful number, since it uses less digits than its factorization.

11011301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30641 (or 30630 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11011301200 its reverse (210311011), we get a palindrome (11221612211).

The spelling of 11011301200 in words is "eleven billion, eleven million, three hundred one thousand, two hundred".