12272040 has 128 divisors (see below), whose sum is σ = 44668800. Its totient is φ = 2972160.

The previous prime is 12272033. The next prime is 12272047. The reversal of 12272040 is 4027221.

It is an interprime number because it is at equal distance from previous prime (12272033) and next prime (12272047).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12272047) 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 31 ways as a sum of consecutive naturals, for example, 11364 + ... + 12396.

It is an arithmetic number, because the mean of its divisors is an integer number (348975).

Almost surely, 2^12272040 is an apocalyptic number.

12272040 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 12272040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22334400).

12272040 is an abundant number, since it is smaller than the sum of its proper divisors (32396760).

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

12272040 is a wasteful number, since it uses less digits than its factorization.

12272040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 12272040 is about 3503.1471564866. The cubic root of 12272040 is about 230.6599821348.

Adding to 12272040 its reverse (4027221), we get a palindrome (16299261).

It can be divided in two parts, 122720 and 40, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 12272040 in words is "twelve million, two hundred seventy-two thousand, forty".