11121965904 has 120 divisors (see below), whose sum is σ = 33538790880. Its totient is φ = 3166662912.

The previous prime is 11121965861. The next prime is 11121965917. The reversal of 11121965904 is 40956912111.

It is a super-3 number, since 3×11121965904³ (a number of 31 digits) contains 333 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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 681067 + ... + 697205.

It is an arithmetic number, because the mean of its divisors is an integer number (279489924).

Almost surely, 2^11121965904 is an apocalyptic number.

11121965904 is a gapful number since it is divisible by the number (14) 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 11121965904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16769395440).

11121965904 is an abundant number, since it is smaller than the sum of its proper divisors (22416824976).

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

11121965904 is a wasteful number, since it uses less digits than its factorization.

11121965904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16457 (or 16444 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The spelling of 11121965904 in words is "eleven billion, one hundred twenty-one million, nine hundred sixty-five thousand, nine hundred four".