11211134414220 has 144 divisors (see below), whose sum is σ = 36667329622560. Its totient is φ = 2756326422528.

The previous prime is 11211134414219. The next prime is 11211134414279. The reversal of 11211134414220 is 2241443111211.

11211134414220 is a `hidden beast` number, since 1 + 1 + 2 + 11 + 13 + 4 + 414 + 220 = 666.

11211134414220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 961485 + ... + 4831844.

It is an arithmetic number, because the mean of its divisors is an integer number (254634233490).

Almost surely, 2^{11211134414220} is an apocalyptic number.

11211134414220 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 11211134414220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18333664811280).

11211134414220 is an abundant number, since it is smaller than the sum of its proper divisors (25456195208340).

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

11211134414220 is a wasteful number, since it uses less digits than its factorization.

11211134414220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5794184 (or 5794179 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 11211134414220 its reverse (2241443111211), we get a palindrome (13452577525431).

The spelling of 11211134414220 in words is "eleven trillion, two hundred eleven billion, one hundred thirty-four million, four hundred fourteen thousand, two hundred twenty".