12992420 has 96 divisors (see below), whose sum is σ = 33965568. Its totient is φ = 4073472.

The previous prime is 12992417. The next prime is 12992423. The reversal of 12992420 is 2429921.

It is an interprime number because it is at equal distance from previous prime (12992417) and next prime (12992423).

It is not an unprimeable number, because it can be changed into a prime (12992423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126089 + ... + 126191.

It is an arithmetic number, because the mean of its divisors is an integer number (353808).

Almost surely, 2^12992420 is an apocalyptic number.

12992420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3604×3605.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12992420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982784).

12992420 is an abundant number, since it is smaller than the sum of its proper divisors (20973148).

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

12992420 is a wasteful number, since it uses less digits than its factorization.

12992420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 12992420 is about 3604.4999653211. The cubic root of 12992420 is about 235.0877595871.

The spelling of 12992420 in words is "twelve million, nine hundred ninety-two thousand, four hundred twenty".