11478120 has 32 divisors (see below), whose sum is σ = 34434720. Its totient is φ = 3060800.

The previous prime is 11478101. The next prime is 11478143. The reversal of 11478120 is 2187411.

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

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 7 ways as a sum of consecutive naturals, for example, 47706 + ... + 47945.

It is an arithmetic number, because the mean of its divisors is an integer number (1076085).

Almost surely, 2^11478120 is an apocalyptic number.

11478120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11478120 is an abundant number, since it is smaller than the sum of its proper divisors (22956600).

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

11478120 is a wasteful number, since it uses less digits than its factorization.

11478120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95665 (or 95661 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 11478120 is about 3387.9374256323. The cubic root of 11478120 is about 225.5746299623.

The spelling of 11478120 in words is "eleven million, four hundred seventy-eight thousand, one hundred twenty".