127228774320 has 360 divisors, whose sum is σ = 470196832560. Its totient is φ = 30742778880.

The previous prime is 127228774319. The next prime is 127228774331. The reversal of 127228774320 is 23477822721.

127228774320 is a `hidden beast` number, since 1 + 272 + 287 + 74 + 32 + 0 = 666.

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

It is a super-2 number, since 2×127228774320² (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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7227930 + ... + 7245510.

Almost surely, 2^127228774320 is an apocalyptic number.

127228774320 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 127228774320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235098416280).

127228774320 is an abundant number, since it is smaller than the sum of its proper divisors (342968058240).

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

127228774320 is a wasteful number, since it uses less digits than its factorization.

127228774320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17665 (or 17633 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 127228774320 in words is "one hundred twenty-seven billion, two hundred twenty-eight million, seven hundred seventy-four thousand, three hundred twenty".