11121033312 has 144 divisors (see below), whose sum is σ = 32361402528. Its totient is φ = 3621703680.

The previous prime is 11121033307. The next prime is 11121033323. The reversal of 11121033312 is 21333012111.

11121033312 is a `hidden beast` number, since 111 + 210 + 33 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11121033312² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2308218 + ... + 2313030.

It is an arithmetic number, because the mean of its divisors is an integer number (224731962).

Almost surely, 2^11121033312 is an apocalyptic number.

11121033312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16180701264).

11121033312 is an abundant number, since it is smaller than the sum of its proper divisors (21240369216).

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

11121033312 is a wasteful number, since it uses less digits than its factorization.

11121033312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5013 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11121033312 its reverse (21333012111), we get a palindrome (32454045423).

The spelling of 11121033312 in words is "eleven billion, one hundred twenty-one million, thirty-three thousand, three hundred twelve".