127226143488 has 288 divisors, whose sum is σ = 361107887616. Its totient is φ = 39680999424.

The previous prime is 127226143483. The next prime is 127226143493. The reversal of 127226143488 is 884341622721.

It is an interprime number because it is at equal distance from previous prime (127226143483) and next prime (127226143493).

It is a super-2 number, since 2×127226143488² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (127226143483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228412906 + ... + 228413462.

It is an arithmetic number, because the mean of its divisors is an integer number (1253846832).

Almost surely, 2^127226143488 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 127226143488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180553943808).

127226143488 is an abundant number, since it is smaller than the sum of its proper divisors (233881744128).

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

127226143488 is a wasteful number, since it uses less digits than its factorization.

127226143488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 845 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The spelling of 127226143488 in words is "one hundred twenty-seven billion, two hundred twenty-six million, one hundred forty-three thousand, four hundred eighty-eight".