128244549389121 has 75 divisors (see below), whose sum is σ = 210751668216705. Its totient is φ = 77716495149480.

The previous prime is 128244549389111. The next prime is 128244549389179. The reversal of 128244549389121 is 121983945442821.

The square root of 128244549389121 is 11324511.

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

128244549389121 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 4 + 4 + 549 + 3 + 89 + 1 + 2 + 1 = 666.

It is not a de Polignac number, because 128244549389121 - 2⁷ = 128244549388993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (128244549389111) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 12332387280 + ... + 12332397678.

Almost surely, 2^{128244549389121} is an apocalyptic number.

128244549389121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

128244549389121 is the 11324511-st square number.

128244549389121 is the 5662256-th centered octagonal number.

It is an amenable number.

128244549389121 is a deficient number, since it is larger than the sum of its proper divisors (82507118827584).

128244549389121 is an frugal number, since it uses more digits than its factorization.

128244549389121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20854 (or 10413 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 128244549389121 in words is "one hundred twenty-eight trillion, two hundred forty-four billion, five hundred forty-nine million, three hundred eighty-nine thousand, one hundred twenty-one".