122011131131201 has 8 divisors (see below), whose sum is σ = 131397070820904. Its totient is φ = 112625258307840.

The previous prime is 122011131131189. The next prime is 122011131131209. The reversal of 122011131131201 is 102131131110221.

It can be written as a sum of positive squares in 4 ways, for example, as 5294416921600 + 116716714209601 = 2300960^2 + 10803551^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122011131131201 - 2¹⁰ = 122011131130177 is a prime.

It is a super-2 number, since 2×122011131131201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122011131131209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12894446 + ... + 20255591.

It is an arithmetic number, because the mean of its divisors is an integer number (16424633852613).

Almost surely, 2^{122011131131201} is an apocalyptic number.

It is an amenable number.

122011131131201 is a deficient number, since it is larger than the sum of its proper divisors (9385939689703).

122011131131201 is a wasteful number, since it uses less digits than its factorization.

122011131131201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33433171.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 122011131131201 its reverse (102131131110221), we get a palindrome (224142262241422).

The spelling of 122011131131201 in words is "one hundred twenty-two trillion, eleven billion, one hundred thirty-one million, one hundred thirty-one thousand, two hundred one".