127381220 has 24 divisors (see below), whose sum is σ = 268477944. Its totient is φ = 50766336.

The previous prime is 127381217. The next prime is 127381223. The reversal of 127381220 is 22183721.

It is an interprime number because it is at equal distance from previous prime (127381217) and next prime (127381223).

It can be written as a sum of positive squares in 4 ways, for example, as 12334144 + 115047076 = 3512^2 + 10726^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 127381220.

It is not an unprimeable number, because it can be changed into a prime (127381223) 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 7 ways as a sum of consecutive naturals, for example, 5957 + ... + 17036.

It is an arithmetic number, because the mean of its divisors is an integer number (11186581).

Almost surely, 2^127381220 is an apocalyptic number.

127381220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127381220 is an abundant number, since it is smaller than the sum of its proper divisors (141096724).

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

127381220 is a wasteful number, since it uses less digits than its factorization.

127381220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23279 (or 23277 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 127381220 is about 11286.3288982733. The cubic root of 127381220 is about 503.1550099508.

The spelling of 127381220 in words is "one hundred twenty-seven million, three hundred eighty-one thousand, two hundred twenty".