11754120 has 96 divisors (see below), whose sum is σ = 41040000. Its totient is φ = 2685312.

The previous prime is 11754101. The next prime is 11754131. The reversal of 11754120 is 2145711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4881 + ... + 6879.

It is an arithmetic number, because the mean of its divisors is an integer number (427500).

Almost surely, 2^11754120 is an apocalyptic number.

11754120 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 11754120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520000).

11754120 is an abundant number, since it is smaller than the sum of its proper divisors (29285880).

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

11754120 is a wasteful number, since it uses less digits than its factorization.

11754120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 11754120 is about 3428.4282112945. The cubic root of 11754120 is about 227.3683656640.

Adding to 11754120 its reverse (2145711), we get a palindrome (13899831).

The spelling of 11754120 in words is "eleven million, seven hundred fifty-four thousand, one hundred twenty".