1327705412121 has 135 divisors (see below), whose sum is σ = 2221084712847. Its totient is φ = 789805779840.

The previous prime is 1327705412119. The next prime is 1327705412147. The reversal of 1327705412121 is 1212145077231.

The square root of 1327705412121 is 1152261.

It is a perfect power (a square), and thus also a powerful number.

1327705412121 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 70 + 541 + 21 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23395232025 + 1304310180096 = 152955^2 + 1142064^2 .

It is not a de Polignac number, because 1327705412121 - 2¹ = 1327705412119 is a prime.

It is a super-2 number, since 2×1327705412121² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1327705412191) 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 134 ways as a sum of consecutive naturals, for example, 11749605361 + ... + 11749605473.

Almost surely, 2^{1327705412121} is an apocalyptic number.

1327705412121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1327705412121 is the 1152261-st square number.

1327705412121 is the 576131-st centered octagonal number.

It is an amenable number.

1327705412121 is a deficient number, since it is larger than the sum of its proper divisors (893379300726).

1327705412121 is an equidigital number, since it uses as much as digits as its factorization.

1327705412121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Multiplying 1327705412121 by its sum of digits (36), we get a square (47797394836356 = 6913566²).

The spelling of 1327705412121 in words is "one trillion, three hundred twenty-seven billion, seven hundred five million, four hundred twelve thousand, one hundred twenty-one".