122046748065529 has 27 divisors (see below), whose sum is σ = 143297096476527. Its totient is φ = 103644601059888.

The previous prime is 122046748065509. The next prime is 122046748065587. The reversal of 122046748065529 is 925560847640221.

The square root of 122046748065529 is 11047477.

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

It can be written as a sum of positive squares in only one way, i.e., 85065997873129 + 36980750192400 = 9223123^2 + 6081180^2 .

It is not a de Polignac number, because 122046748065529 - 2¹⁹ = 122046747541241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122046748065509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8429217712 + ... + 8429232190.

It is an arithmetic number, because the mean of its divisors is an integer number (5307299869501).

Almost surely, 2^{122046748065529} is an apocalyptic number.

122046748065529 is the 11047477-th square number.

122046748065529 is the 5523739-th centered octagonal number.

It is an amenable number.

122046748065529 is a deficient number, since it is larger than the sum of its proper divisors (21250348410998).

122046748065529 is an frugal number, since it uses more digits than its factorization.

122046748065529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29190 (or 14595 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 61.

The spelling of 122046748065529 in words is "one hundred twenty-two trillion, forty-six billion, seven hundred forty-eight million, sixty-five thousand, five hundred twenty-nine".