11405215021200 has 960 divisors, whose sum is σ = 51635461785600. Its totient is φ = 2072471961600.

The previous prime is 11405215021169. The next prime is 11405215021231. The reversal of 11405215021200 is 212051250411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11405215021169) and next prime (11405215021231).

It is a super-2 number, since 2×11405215021200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22572936 + ... + 23072664.

It is an arithmetic number, because the mean of its divisors is an integer number (53786939360).

Almost surely, 2^{11405215021200} is an apocalyptic number.

11405215021200 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 11405215021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25817730892800).

11405215021200 is an abundant number, since it is smaller than the sum of its proper divisors (40230246764400).

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

11405215021200 is a wasteful number, since it uses less digits than its factorization.

11405215021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499800 (or 499789 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 11405215021200 its reverse (212051250411), we get a palindrome (11617266271611).

The spelling of 11405215021200 in words is "eleven trillion, four hundred five billion, two hundred fifteen million, twenty-one thousand, two hundred".