122255821801 has 9 divisors (see below), whose sum is σ = 122753994391. Its totient is φ = 121759667032.

The previous prime is 122255821777. The next prime is 122255821811. The reversal of 122255821801 is 108128552221.

The square root of 122255821801 is 349651.

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., 6843425625 + 115412396176 = 82725^2 + 339724^2 .

It is not a de Polignac number, because 122255821801 - 2¹³ = 122255813609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122255821811) 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, 110838816 + ... + 110839918.

Almost surely, 2^122255821801 is an apocalyptic number.

122255821801 is the 349651-st square number.

122255821801 is the 174826-th centered octagonal number.

It is an amenable number.

122255821801 is a deficient number, since it is larger than the sum of its proper divisors (498172590).

122255821801 is an frugal number, since it uses more digits than its factorization.

122255821801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 37.

The spelling of 122255821801 in words is "one hundred twenty-two billion, two hundred fifty-five million, eight hundred twenty-one thousand, eight hundred one".