127121201212001 has 16 divisors (see below), whose sum is σ = 134772689474640. Its totient is φ = 119489093775360.

The previous prime is 127121201211989. The next prime is 127121201212009. The reversal of 127121201212001 is 100212102121721.

It can be written as a sum of positive squares in 8 ways, for example, as 7680236712976 + 119440964499025 = 2771324^2 + 10928905^2 .

It is not a de Polignac number, because 127121201212001 - 2⁶ = 127121201211937 is a prime.

It is a super-3 number, since 3×127121201212001³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127121201212009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54699155 + ... + 56975783.

It is an arithmetic number, because the mean of its divisors is an integer number (8423293092165).

Almost surely, 2^{127121201212001} is an apocalyptic number.

It is an amenable number.

127121201212001 is a deficient number, since it is larger than the sum of its proper divisors (7651488262639).

127121201212001 is a wasteful number, since it uses less digits than its factorization.

127121201212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280884.

The product of its (nonzero) digits is 224, while the sum is 23.

Adding to 127121201212001 its reverse (100212102121721), we get a palindrome (227333303333722).

The spelling of 127121201212001 in words is "one hundred twenty-seven trillion, one hundred twenty-one billion, two hundred one million, two hundred twelve thousand, one".