127238121 has 10 divisors (see below), whose sum is σ = 190071882. Its totient is φ = 84825360.

The previous prime is 127238077. The next prime is 127238123. The reversal of 127238121 is 121832721.

It can be written as a sum of positive squares in only one way, i.e., 71571600 + 55666521 = 8460^2 + 7461^2 .

It is not a de Polignac number, because 127238121 - 2¹⁷ = 127107049 is a prime.

It is a super-2 number, since 2×127238121² = 32379078871221282, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (127238123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 785340 + ... + 785501.

Almost surely, 2^127238121 is an apocalyptic number.

It is an amenable number.

127238121 is a deficient number, since it is larger than the sum of its proper divisors (62833761).

127238121 is an equidigital number, since it uses as much as digits as its factorization.

127238121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570853 (or 1570844 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 127238121 is about 11279.9876329719. The cubic root of 127238121 is about 502.9665259723.

It can be divided in two parts, 1272 and 38121, that added together give a palindrome (39393).

The spelling of 127238121 in words is "one hundred twenty-seven million, two hundred thirty-eight thousand, one hundred twenty-one".