127021970880 has 2016 divisors, whose sum is σ = 583957273536. Its totient is φ = 26085556224.

The previous prime is 127021970857. The next prime is 127021971023. The reversal of 127021970880 is 88079120721.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×127021970880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2396640934 + ... + 2396640986.

It is an arithmetic number, because the mean of its divisors is an integer number (289661346).

Almost surely, 2^127021970880 is an apocalyptic number.

127021970880 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 127021970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291978636768).

127021970880 is an abundant number, since it is smaller than the sum of its proper divisors (456935302656).

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

127021970880 is a wasteful number, since it uses less digits than its factorization.

127021970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

It can be divided in two parts, 127021 and 970880, that added together give a palindrome (1097901).

The spelling of 127021970880 in words is "one hundred twenty-seven billion, twenty-one million, nine hundred seventy thousand, eight hundred eighty".