13278120 has 32 divisors (see below), whose sum is σ = 39834720. Its totient is φ = 3540800.

The previous prime is 13278103. The next prime is 13278121. The reversal of 13278120 is 2187231.

13278120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (13278121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55206 + ... + 55445.

It is an arithmetic number, because the mean of its divisors is an integer number (1244835).

Almost surely, 2^13278120 is an apocalyptic number.

13278120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13278120 is an abundant number, since it is smaller than the sum of its proper divisors (26556600).

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

13278120 is a wasteful number, since it uses less digits than its factorization.

13278120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110665 (or 110661 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 13278120 is about 3643.9154765170. The cubic root of 13278120 is about 236.7984542296.

The spelling of 13278120 in words is "thirteen million, two hundred seventy-eight thousand, one hundred twenty".