11122122312 has 120 divisors (see below), whose sum is σ = 36238424310. Its totient is φ = 3177740160.

The previous prime is 11122122299. The next prime is 11122122317. The reversal of 11122122312 is 21322122111.

11122122312 is a `hidden beast` number, since 111 + 221 + 22 + 312 = 666.

11122122312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9683740836 + 1438381476 = 98406^2 + 37926^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11122122317) 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 29 ways as a sum of consecutive naturals, for example, 143389 + ... + 206892.

Almost surely, 2^11122122312 is an apocalyptic number.

11122122312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11122122312 is an abundant number, since it is smaller than the sum of its proper divisors (25116301998).

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

11122122312 is a wasteful number, since it uses less digits than its factorization.

11122122312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350313 (or 350293 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 11122122312 its reverse (21322122111), we get a palindrome (32444244423).

The spelling of 11122122312 in words is "eleven billion, one hundred twenty-two million, one hundred twenty-two thousand, three hundred twelve".