11892120 has 64 divisors (see below), whose sum is σ = 36033120. Its totient is φ = 3139584.

The previous prime is 11892109. The next prime is 11892121. The reversal of 11892120 is 2129811.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11892121) by changing a digit.

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, 13122 + ... + 13998.

Almost surely, 2^11892120 is an apocalyptic number.

11892120 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 11892120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18016560).

11892120 is an abundant number, since it is smaller than the sum of its proper divisors (24141000).

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

11892120 is a wasteful number, since it uses less digits than its factorization.

11892120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 11892120 is about 3448.4953240508. The cubic root of 11892120 is about 228.2547168686.

The spelling of 11892120 in words is "eleven million, eight hundred ninety-two thousand, one hundred twenty".