122116001401 has 9 divisors (see below), whose sum is σ = 123837608271. Its totient is φ = 120418018992.

The previous prime is 122116001363. The next prime is 122116001437. The reversal of 122116001401 is 104100611221.

The square root of 122116001401 is 349451.

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., 69318991225 + 52797010176 = 263285^2 + 229776^2 .

It is not a de Polignac number, because 122116001401 - 2¹¹ = 122115999353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122116001471) 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, 25507530 + ... + 25512316.

Almost surely, 2^122116001401 is an apocalyptic number.

122116001401 is the 349451-st square number.

122116001401 is the 174726-th centered octagonal number.

It is an amenable number.

122116001401 is a deficient number, since it is larger than the sum of its proper divisors (1721606870).

122116001401 is an frugal number, since it uses more digits than its factorization.

122116001401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9720 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 122116001401 its reverse (104100611221), we get a palindrome (226216612622).

The spelling of 122116001401 in words is "one hundred twenty-two billion, one hundred sixteen million, one thousand, four hundred one".