127361220 has 96 divisors (see below), whose sum is σ = 413392896. Its totient is φ = 28694400.

The previous prime is 127361207. The next prime is 127361249. The reversal of 127361220 is 22163721.

It is a super-3 number, since 3×127361220³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27685 + ... + 31955.

It is an arithmetic number, because the mean of its divisors is an integer number (4306176).

Almost surely, 2^127361220 is an apocalyptic number.

127361220 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 127361220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206696448).

127361220 is an abundant number, since it is smaller than the sum of its proper divisors (286031676).

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

127361220 is a wasteful number, since it uses less digits than its factorization.

127361220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4361 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 127361220 is about 11285.4428357951. The cubic root of 127361220 is about 503.1286752815.

The spelling of 127361220 in words is "one hundred twenty-seven million, three hundred sixty-one thousand, two hundred twenty".