12909120 has 224 divisors, whose sum is σ = 50035968. Its totient is φ = 2752512.

The previous prime is 12909109. The next prime is 12909131. The reversal of 12909120 is 2190921.

It is an interprime number because it is at equal distance from previous prime (12909109) and next prime (12909131).

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114184 + ... + 114296.

Almost surely, 2^12909120 is an apocalyptic number.

12909120 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 12909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25017984).

12909120 is an abundant number, since it is smaller than the sum of its proper divisors (37126848).

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

12909120 is a wasteful number, since it uses less digits than its factorization.

12909120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 12909120 is about 3592.9263838826. The cubic root of 12909120 is about 234.5842657201.

The spelling of 12909120 in words is "twelve million, nine hundred nine thousand, one hundred twenty".