127222102800 has 360 divisors, whose sum is σ = 490800197888. Its totient is φ = 30305664000.

The previous prime is 127222102757. The next prime is 127222102817. The reversal of 127222102800 is 8201222721.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1406955 + ... + 1494645.

Almost surely, 2^127222102800 is an apocalyptic number.

127222102800 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 127222102800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245400098944).

127222102800 is an abundant number, since it is smaller than the sum of its proper divisors (363578095088).

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

127222102800 is a wasteful number, since it uses less digits than its factorization.

127222102800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87759 (or 87745 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 127222102800 in words is "one hundred twenty-seven billion, two hundred twenty-two million, one hundred two thousand, eight hundred".