127000996416 has 1120 divisors, whose sum is σ = 488596838400. Its totient is φ = 31770869760.

The previous prime is 127000996337. The next prime is 127000996417. The reversal of 127000996416 is 614699000721.

It is a super-2 number, since 2×127000996416² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127000996417) 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 159 ways as a sum of consecutive naturals, for example, 554589390 + ... + 554589618.

Almost surely, 2^127000996416 is an apocalyptic number.

127000996416 is a gapful number since it is divisible by the number (16) 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 127000996416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244298419200).

127000996416 is an abundant number, since it is smaller than the sum of its proper divisors (361595841984).

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

127000996416 is a wasteful number, since it uses less digits than its factorization.

127000996416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 127000996416 in words is "one hundred twenty-seven billion, nine hundred ninety-six thousand, four hundred sixteen".