122078655264241 has 9 divisors (see below), whose sum is σ = 132191835495681. Its totient is φ = 112687856887632.

The previous prime is 122078655264233. The next prime is 122078655264271. The reversal of 122078655264241 is 142462556870221.

The square root of 122078655264241 is 11048921.

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

It can be written as a sum of positive squares in 4 ways, for example, as 97644615377841 + 24434039886400 = 9881529^2 + 4943080^2 .

It is not a de Polignac number, because 122078655264241 - 2³ = 122078655264233 is a prime.

It is a super-2 number, since 2×122078655264241² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122078655264271) 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, 143211015 + ... + 144060931.

Almost surely, 2^{122078655264241} is an apocalyptic number.

122078655264241 is the 11048921-st square number.

122078655264241 is the 5524461-st centered octagonal number.

It is an amenable number.

122078655264241 is a deficient number, since it is larger than the sum of its proper divisors (10113180231440).

122078655264241 is an frugal number, since it uses more digits than its factorization.

122078655264241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699860 (or 849930 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 55.

The spelling of 122078655264241 in words is "one hundred twenty-two trillion, seventy-eight billion, six hundred fifty-five million, two hundred sixty-four thousand, two hundred forty-one".