121413131424 has 108 divisors (see below), whose sum is σ = 373870874286. Its totient is φ = 37357871616.

The previous prime is 121413131381. The next prime is 121413131429. The reversal of 121413131424 is 424131314121.

It is a happy number.

121413131424 is a `hidden beast` number, since 1 + 214 + 13 + 13 + 1 + 424 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 54694241424 + 66718890000 = 233868^2 + 258300^2 .

It is a super-2 number, since 2×121413131424² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (121413131429) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1198587 + ... + 1295930.

Almost surely, 2^121413131424 is an apocalyptic number.

It is an amenable number.

121413131424 is an abundant number, since it is smaller than the sum of its proper divisors (252457742862).

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

121413131424 is a wasteful number, since it uses less digits than its factorization.

121413131424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494559 (or 2494535 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 121413131424 its reverse (424131314121), we get a palindrome (545544445545).

The spelling of 121413131424 in words is "one hundred twenty-one billion, four hundred thirteen million, one hundred thirty-one thousand, four hundred twenty-four".