1271872282224 has 80 divisors (see below), whose sum is σ = 3363240988800. Its totient is φ = 413955080448.

The previous prime is 1271872282147. The next prime is 1271872282229. The reversal of 1271872282224 is 4222822781721.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1271872282229) 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, 5961262 + ... + 6170930.

It is an arithmetic number, because the mean of its divisors is an integer number (42040512360).

Almost surely, 2^{1271872282224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1271872282224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681620494400).

1271872282224 is an abundant number, since it is smaller than the sum of its proper divisors (2091368706576).

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

1271872282224 is a wasteful number, since it uses less digits than its factorization.

1271872282224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212662 (or 212656 counting only the distinct ones).

The product of its digits is 802816, while the sum is 48.

The spelling of 1271872282224 in words is "one trillion, two hundred seventy-one billion, eight hundred seventy-two million, two hundred eighty-two thousand, two hundred twenty-four".