127066320000 has 400 divisors, whose sum is σ = 472556975550. Its totient is φ = 33882624000.

The previous prime is 127066319977. The next prime is 127066320037. The reversal of 127066320000 is 23660721.

It is a happy number.

127066320000 is a `hidden beast` number, since 1 + 27 + 0 + 6 + 632 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 27114232896 + 99952087104 = 164664^2 + 316152^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×127066320000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 6470196 + ... + 6489804.

Almost surely, 2^127066320000 is an apocalyptic number.

127066320000 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 127066320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236278487775).

127066320000 is an abundant number, since it is smaller than the sum of its proper divisors (345490655550).

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

127066320000 is an frugal number, since it uses more digits than its factorization.

127066320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19655 (or 19619 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 127066320000 its reverse (23660721), we get a palindrome (127089980721).

The spelling of 127066320000 in words is "one hundred twenty-seven billion, sixty-six million, three hundred twenty thousand".