122142241044 has 36 divisors (see below), whose sum is σ = 311480740116. Its totient is φ = 40353777408.

The previous prime is 122142241033. The next prime is 122142241049. The reversal of 122142241044 is 440142241221.

122142241044 is a `hidden beast` number, since 1 + 221 + 4 + 22 + 410 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16687472400 + 105454768644 = 129180^2 + 324738^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 122142240999 and 122142241017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122142241049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15008499 + ... + 15016634.

It is an arithmetic number, because the mean of its divisors is an integer number (8652242781).

Almost surely, 2^122142241044 is an apocalyptic number.

It is an amenable number.

122142241044 is an abundant number, since it is smaller than the sum of its proper divisors (189338499072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122142241044 is a wasteful number, since it uses less digits than its factorization.

122142241044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30025256 (or 30025251 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 122142241044 its reverse (440142241221), we get a palindrome (562284482265).

The spelling of 122142241044 in words is "one hundred twenty-two billion, one hundred forty-two million, two hundred forty-one thousand, forty-four".