122124131041133 has 16 divisors (see below), whose sum is σ = 132725794795440. Its totient is φ = 111694981446144.

The previous prime is 122124131041097. The next prime is 122124131041307. The reversal of 122124131041133 is 331140131421221.

It can be written as a sum of positive squares in 8 ways, for example, as 2993498609929 + 119130632431204 = 1730173^2 + 10914698^2 .

It is a cyclic number.

It is not a de Polignac number, because 122124131041133 - 2¹² = 122124131037037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122124131041096 and 122124131041105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122124131041933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371448185 + ... + 371776817.

It is an arithmetic number, because the mean of its divisors is an integer number (8295362174715).

Almost surely, 2^{122124131041133} is an apocalyptic number.

122124131041133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122124131041133 is a deficient number, since it is larger than the sum of its proper divisors (10601663754307).

122124131041133 is a wasteful number, since it uses less digits than its factorization.

122124131041133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591008.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 122124131041133 its reverse (331140131421221), we get a palindrome (453264262462354).

The spelling of 122124131041133 in words is "one hundred twenty-two trillion, one hundred twenty-four billion, one hundred thirty-one million, forty-one thousand, one hundred thirty-three".