122090058016969 has 27 divisors (see below), whose sum is σ = 142718491597383. Its totient is φ = 104138733837600.

The previous prime is 122090058016963. The next prime is 122090058016987. The reversal of 122090058016969 is 969610850090221.

The square root of 122090058016969 is 11049437.

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., 105950233863369 + 16139824153600 = 10293213^2 + 4017440^2 .

It is not a de Polignac number, because 122090058016969 - 2³ = 122090058016961 is a prime.

It is a super-2 number, since 2×122090058016969² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122090058016961) 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, 16320014709 + ... + 16320022189.

Almost surely, 2^{122090058016969} is an apocalyptic number.

122090058016969 is the 11049437-th square number.

122090058016969 is the 5524719-th centered octagonal number.

It is an amenable number.

122090058016969 is a deficient number, since it is larger than the sum of its proper divisors (20628433580414).

122090058016969 is an frugal number, since it uses more digits than its factorization.

122090058016969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15398 (or 7699 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 58.

The spelling of 122090058016969 in words is "one hundred twenty-two trillion, ninety billion, fifty-eight million, sixteen thousand, nine hundred sixty-nine".