11220400214 has 16 divisors (see below), whose sum is σ = 18395496576. Its totient is φ = 5109859200.

The previous prime is 11220400211. The next prime is 11220400229. The reversal of 11220400214 is 41200402211.

11220400214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 11220400192 and 11220400201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220400211) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5321717 + ... + 5323824.

It is an arithmetic number, because the mean of its divisors is an integer number (1149718536).

Almost surely, 2^11220400214 is an apocalyptic number.

11220400214 is a deficient number, since it is larger than the sum of its proper divisors (7175096362).

11220400214 is a wasteful number, since it uses less digits than its factorization.

11220400214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10645591.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 11220400214 its reverse (41200402211), we get a palindrome (52420802425).

The spelling of 11220400214 in words is "eleven billion, two hundred twenty million, four hundred thousand, two hundred fourteen".