127030220112384 has 480 divisors, whose sum is σ = 376616904618240. Its totient is φ = 41204856324096.

The previous prime is 127030220112353. The next prime is 127030220112403. The reversal of 127030220112384 is 483211022030721.

127030220112384 is a `hidden beast` number, since 1 + 2 + 70 + 3 + 0 + 2 + 201 + 1 + 2 + 384 = 666.

It is a super-2 number, since 2×127030220112384² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13669447642 + ... + 13669456934.

It is an arithmetic number, because the mean of its divisors is an integer number (784618551288).

Almost surely, 2^{127030220112384} 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 127030220112384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188308452309120).

127030220112384 is an abundant number, since it is smaller than the sum of its proper divisors (249586684505856).

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

127030220112384 is a wasteful number, since it uses less digits than its factorization.

127030220112384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9880 (or 9861 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 127030220112384 in words is "one hundred twenty-seven trillion, thirty billion, two hundred twenty million, one hundred twelve thousand, three hundred eighty-four".