12273768 has 160 divisors (see below), whose sum is σ = 39029760. Its totient is φ = 3576960.

The previous prime is 12273761. The next prime is 12273773. The reversal of 12273768 is 86737221.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (28224) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12273761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 261121 + ... + 261167.

It is an arithmetic number, because the mean of its divisors is an integer number (243936).

Almost surely, 2^12273768 is an apocalyptic number.

12273768 is a gapful number since it is divisible by the number (18) 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 12273768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514880).

12273768 is an abundant number, since it is smaller than the sum of its proper divisors (26755992).

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

12273768 is a wasteful number, since it uses less digits than its factorization.

12273768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 12273768 is about 3503.3937831765. The cubic root of 12273768 is about 230.6708078748.

It can be divided in two parts, 12273 and 768, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 12273768 in words is "twelve million, two hundred seventy-three thousand, seven hundred sixty-eight".