122141144332413 has 12 divisors (see below), whose sum is σ = 176426334992700. Its totient is φ = 81427319882496.

The previous prime is 122141144332409. The next prime is 122141144332421. The reversal of 122141144332413 is 314233441141221.

122141144332413 is a `hidden beast` number, since 1 + 2 + 2 + 141 + 1 + 443 + 32 + 41 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29909764116324 + 92231380216089 = 5468982^2 + 9603717^2 .

It is not a de Polignac number, because 122141144332413 - 2² = 122141144332409 is a prime.

It is a super-2 number, since 2×122141144332413² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122141144332213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1773556 + ... + 15729837.

It is an arithmetic number, because the mean of its divisors is an integer number (14702194582725).

Almost surely, 2^{122141144332413} is an apocalyptic number.

It is an amenable number.

122141144332413 is a deficient number, since it is larger than the sum of its proper divisors (54285190660287).

122141144332413 is a wasteful number, since it uses less digits than its factorization.

122141144332413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18278748 (or 18278745 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 122141144332413 its reverse (314233441141221), we get a palindrome (436374585473634).

The spelling of 122141144332413 in words is "one hundred twenty-two trillion, one hundred forty-one billion, one hundred forty-four million, three hundred thirty-two thousand, four hundred thirteen".