11521301200 has 60 divisors (see below), whose sum is σ = 29308174380. Its totient is φ = 4337428480.

The previous prime is 11521301107. The next prime is 11521301219. The reversal of 11521301200 is 210312511.

11521301200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1098524736 + 10422776464 = 33144^2 + 102092^2 .

It is a super-2 number, since 2×11521301200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 840355 + ... + 853954.

It is an arithmetic number, because the mean of its divisors is an integer number (488469573).

Almost surely, 2^11521301200 is an apocalyptic number.

11521301200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11521301200 is an abundant number, since it is smaller than the sum of its proper divisors (17786873180).

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

11521301200 is a wasteful number, since it uses less digits than its factorization.

11521301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694344 (or 1694333 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 11521301200 its reverse (210312511), we get a palindrome (11731613711).

The spelling of 11521301200 in words is "eleven billion, five hundred twenty-one million, three hundred one thousand, two hundred".