122071937612689 has 15 divisors (see below), whose sum is σ = 126151970392635. Its totient is φ = 118123857959760.

The previous prime is 122071937612659. The next prime is 122071937612707. The reversal of 122071937612689 is 986216739170221.

The square root of 122071937612689 is 11048617.

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., 73234314867025 + 48837622745664 = 8557705^2 + 6988392^2 .

It is not a de Polignac number, because 122071937612689 - 2³¹ = 122069790129041 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 122071937612689.

It is not an unprimeable number, because it can be changed into a prime (122071937612629) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10617715189 + ... + 10617726685.

It is an arithmetic number, because the mean of its divisors is an integer number (8410131359509).

Almost surely, 2^{122071937612689} is an apocalyptic number.

122071937612689 is the 11048617-th square number.

122071937612689 is the 5524309-th centered octagonal number.

It is an amenable number.

122071937612689 is a deficient number, since it is larger than the sum of its proper divisors (4080032779946).

122071937612689 is an frugal number, since it uses more digits than its factorization.

122071937612689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23118 (or 11528 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 64.

The spelling of 122071937612689 in words is "one hundred twenty-two trillion, seventy-one billion, nine hundred thirty-seven million, six hundred twelve thousand, six hundred eighty-nine".