11121034412312 has 64 divisors (see below), whose sum is σ = 23956391520000. Its totient is φ = 4786646071680.

The previous prime is 11121034412303. The next prime is 11121034412333. The reversal of 11121034412312 is 21321443012111.

It is a happy number.

It is a super-2 number, since 2×11121034412312² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1851989 + ... + 5066747.

It is an arithmetic number, because the mean of its divisors is an integer number (374318617500).

Almost surely, 2^{11121034412312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121034412312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11978195760000).

11121034412312 is an abundant number, since it is smaller than the sum of its proper divisors (12835357107688).

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

11121034412312 is a wasteful number, since it uses less digits than its factorization.

11121034412312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216864 (or 3216860 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 11121034412312 its reverse (21321443012111), we get a palindrome (32442477424423).

The spelling of 11121034412312 in words is "eleven trillion, one hundred twenty-one billion, thirty-four million, four hundred twelve thousand, three hundred twelve".