11924120 has 64 divisors (see below), whose sum is σ = 30179520. Its totient is φ = 4207104.

The previous prime is 11924111. The next prime is 11924137. The reversal of 11924120 is 2142911.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11924092 and 11924101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11462 + ... + 12458.

It is an arithmetic number, because the mean of its divisors is an integer number (471555).

Almost surely, 2^11924120 is an apocalyptic number.

11924120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11924120 is the 1994-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11924120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15089760).

11924120 is an abundant number, since it is smaller than the sum of its proper divisors (18255400).

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

11924120 is a wasteful number, since it uses less digits than its factorization.

11924120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 11924120 is about 3453.1319117578. The cubic root of 11924120 is about 228.4592671433.

The spelling of 11924120 in words is "eleven million, nine hundred twenty-four thousand, one hundred twenty".