122332868455561 has 9 divisors (see below), whose sum is σ = 123161063819143. Its totient is φ = 121510205550760.

The previous prime is 122332868455529. The next prime is 122332868455571. The reversal of 122332868455561 is 165554868233221.

The square root of 122332868455561 is 11060419.

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., 14332137779961 + 108000730675600 = 3785781^2 + 10392340^2 .

It is not a de Polignac number, because 122332868455561 - 2⁵ = 122332868455529 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122332868455561.

It is not an unprimeable number, because it can be changed into a prime (122332868455571) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1647965316 + ... + 1648039546.

Almost surely, 2^{122332868455561} is an apocalyptic number.

122332868455561 is the 11060419-th square number.

122332868455561 is the 5530210-th centered octagonal number.

It is an amenable number.

122332868455561 is a deficient number, since it is larger than the sum of its proper divisors (828195363582).

122332868455561 is an frugal number, since it uses more digits than its factorization.

122332868455561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148760 (or 74380 counting only the distinct ones).

The product of its digits is 82944000, while the sum is 61.

The spelling of 122332868455561 in words is "one hundred twenty-two trillion, three hundred thirty-two billion, eight hundred sixty-eight million, four hundred fifty-five thousand, five hundred sixty-one".