122260017649 has 81 divisors (see below), whose sum is σ = 165679275321. Its totient is φ = 89875835280.

The previous prime is 122260017629. The next prime is 122260017673. The reversal of 122260017649 is 946710062221.

The square root of 122260017649 is 349657.

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

It is not a de Polignac number, because 122260017649 - 2⁵ = 122260017617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122260017629) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 511548072 + ... + 511548310.

Almost surely, 2^122260017649 is an apocalyptic number.

122260017649 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

122260017649 is the 349657-th square number.

122260017649 is the 174829-th centered octagonal number.

It is an amenable number.

122260017649 is a deficient number, since it is larger than the sum of its proper divisors (43419257672).

122260017649 is an equidigital number, since it uses as much as digits as its factorization.

122260017649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 122260017649 in words is "one hundred twenty-two billion, two hundred sixty million, seventeen thousand, six hundred forty-nine".