11314224213120 has 96 divisors (see below), whose sum is σ = 39069430505820. Its totient is φ = 3017126455296.

The previous prime is 11314224213113. The next prime is 11314224213161. The reversal of 11314224213120 is 2131242241311.

11314224213120 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 422 + 4 + 213 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11266870971456 + 47353241664 = 3356616^2 + 217608^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 982131759 + ... + 982143278.

Almost surely, 2^{11314224213120} is an apocalyptic number.

11314224213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11314224213120 is an abundant number, since it is smaller than the sum of its proper divisors (27755206292700).

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

11314224213120 is a wasteful number, since it uses less digits than its factorization.

11314224213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964275062 (or 1964275047 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11314224213120 its reverse (2131242241311), we get a palindrome (13445466454431).

The spelling of 11314224213120 in words is "eleven trillion, three hundred fourteen billion, two hundred twenty-four million, two hundred thirteen thousand, one hundred twenty".