12993120 has 144 divisors (see below), whose sum is σ = 50712480. Its totient is φ = 2967552.

The previous prime is 12993119. The next prime is 12993121. The reversal of 12993120 is 2139921.

It is an interprime number because it is at equal distance from previous prime (12993119) and next prime (12993121).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12993121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9436 + ... + 10724.

It is an arithmetic number, because the mean of its divisors is an integer number (352170).

Almost surely, 2^12993120 is an apocalyptic number.

12993120 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 12993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25356240).

12993120 is an abundant number, since it is smaller than the sum of its proper divisors (37719360).

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

12993120 is a wasteful number, since it uses less digits than its factorization.

12993120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 12993120 is about 3604.5970648604. The cubic root of 12993120 is about 235.0919814969.

The spelling of 12993120 in words is "twelve million, nine hundred ninety-three thousand, one hundred twenty".