12995712 has 96 divisors (see below), whose sum is σ = 38785500. Its totient is φ = 4171776.

The previous prime is 12995711. The next prime is 12995747. The reversal of 12995712 is 21759921.

It can be written as a sum of positive squares in 2 ways, for example, as 12787776 + 207936 = 3576^2 + 456^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (12995711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33214 + ... + 33602.

Almost surely, 2^12995712 is an apocalyptic number.

12995712 is a gapful number since it is divisible by the number (12) 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 12995712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19392750).

12995712 is an abundant number, since it is smaller than the sum of its proper divisors (25789788).

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

12995712 is a wasteful number, since it uses less digits than its factorization.

12995712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 423 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 12995712 is about 3604.9565878107. The cubic root of 12995712 is about 235.1076133057.

The spelling of 12995712 in words is "twelve million, nine hundred ninety-five thousand, seven hundred twelve".