11121073920 has 864 divisors, whose sum is σ = 45916416000. Its totient is φ = 2455142400.

The previous prime is 11121073913. The next prime is 11121073933. The reversal of 11121073920 is 2937012111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74638006 + ... + 74638154.

It is an arithmetic number, because the mean of its divisors is an integer number (53144000).

Almost surely, 2^11121073920 is an apocalyptic number.

11121073920 is a gapful number since it is divisible by the number (10) 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 11121073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22958208000).

11121073920 is an abundant number, since it is smaller than the sum of its proper divisors (34795342080).

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

11121073920 is a wasteful number, since it uses less digits than its factorization.

11121073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 11121073920 in words is "eleven billion, one hundred twenty-one million, seventy-three thousand, nine hundred twenty".