12272141440 has 64 divisors (see below), whose sum is σ = 31594885560. Its totient is φ = 4531249152.

The previous prime is 12272141417. The next prime is 12272141447. The reversal of 12272141440 is 4414127221.

It can be written as a sum of positive squares in 4 ways, for example, as 4780892736 + 7491248704 = 69144^2 + 86552^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12272141399 and 12272141408.

It is not an unprimeable number, because it can be changed into a prime (12272141447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 729189 + ... + 745828.

Almost surely, 2^12272141440 is an apocalyptic number.

12272141440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12272141440 is an abundant number, since it is smaller than the sum of its proper divisors (19322744120).

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

12272141440 is a wasteful number, since it uses less digits than its factorization.

12272141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475049 (or 1475037 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

Adding to 12272141440 its reverse (4414127221), we get a palindrome (16686268661).

The spelling of 12272141440 in words is "twelve billion, two hundred seventy-two million, one hundred forty-one thousand, four hundred forty".