12678120 has 320 divisors, whose sum is σ = 53665920. Its totient is φ = 2612736.

The previous prime is 12678119. The next prime is 12678121. The reversal of 12678120 is 2187621.

12678120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12678119) and next prime (12678121).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12678121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 294819 + ... + 294861.

It is an arithmetic number, because the mean of its divisors is an integer number (167706).

Almost surely, 2^12678120 is an apocalyptic number.

12678120 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 12678120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26832960).

12678120 is an abundant number, since it is smaller than the sum of its proper divisors (40987800).

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

12678120 is a wasteful number, since it uses less digits than its factorization.

12678120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 12678120 is about 3560.6347748681. The cubic root of 12678120 is about 233.1765931470.

The spelling of 12678120 in words is "twelve million, six hundred seventy-eight thousand, one hundred twenty".