11220211212192 has 36 divisors (see below), whose sum is σ = 31907475635490. Its totient is φ = 3740070403968.

The previous prime is 11220211212181. The next prime is 11220211212257. The reversal of 11220211212192 is 29121211202211.

11220211212192 is a `hidden beast` number, since 1 + 1 + 220 + 211 + 212 + 19 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10422540732816 + 797670479376 = 3228396^2 + 893124^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19479533067 + ... + 19479533642.

Almost surely, 2^{11220211212192} is an apocalyptic number.

11220211212192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11220211212192 is an abundant number, since it is smaller than the sum of its proper divisors (20687264423298).

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

11220211212192 is a wasteful number, since it uses less digits than its factorization.

11220211212192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38959066725 (or 38959066714 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 11220211212192 in words is "eleven trillion, two hundred twenty billion, two hundred eleven million, two hundred twelve thousand, one hundred ninety-two".