127123872876 has 768 divisors, whose sum is σ = 462810378240. Its totient is φ = 29113344000.

The previous prime is 127123872871. The next prime is 127123872901. The reversal of 127123872876 is 678278321721.

127123872876 is a `hidden beast` number, since 1 + 271 + 238 + 72 + 8 + 76 = 666.

It is a super-2 number, since 2×127123872876² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (127123872871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 243999496 + ... + 244000016.

It is an arithmetic number, because the mean of its divisors is an integer number (602617680).

Almost surely, 2^127123872876 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 127123872876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231405189120).

127123872876 is an abundant number, since it is smaller than the sum of its proper divisors (335686505364).

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

127123872876 is a wasteful number, since it uses less digits than its factorization.

127123872876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 655 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

It can be divided in two parts, 127123 and 872876, that added together give a palindrome (999999).

The spelling of 127123872876 in words is "one hundred twenty-seven billion, one hundred twenty-three million, eight hundred seventy-two thousand, eight hundred seventy-six".