12272064 has 112 divisors (see below), whose sum is σ = 38819328. Its totient is φ = 3345408.

The previous prime is 12272047. The next prime is 12272069. The reversal of 12272064 is 46027221.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12272069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30714 + ... + 31110.

Almost surely, 2^12272064 is an apocalyptic number.

12272064 is a gapful number since it is divisible by the number (14) 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 12272064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19409664).

12272064 is an abundant number, since it is smaller than the sum of its proper divisors (26547264).

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

12272064 is a wasteful number, since it uses less digits than its factorization.

12272064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 12272064 is about 3503.1505819762. The cubic root of 12272064 is about 230.6601324993.

Adding to 12272064 its reverse (46027221), we get a palindrome (58299285).

The spelling of 12272064 in words is "twelve million, two hundred seventy-two thousand, sixty-four".