1214121431424 has 128 divisors (see below), whose sum is σ = 3639510144000. Its totient is φ = 355228805120.

The previous prime is 1214121431389. The next prime is 1214121431507. The reversal of 1214121431424 is 4241341214121.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 1214121431391 and 1214121431400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4833264 + ... + 5078255.

It is an arithmetic number, because the mean of its divisors is an integer number (28433673000).

Almost surely, 2^{1214121431424} is an apocalyptic number.

It is an amenable number.

1214121431424 is an abundant number, since it is smaller than the sum of its proper divisors (2425388712576).

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

1214121431424 is a wasteful number, since it uses less digits than its factorization.

1214121431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9911576 (or 9911564 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

Adding to 1214121431424 its reverse (4241341214121), we get a palindrome (5455462645545).

The spelling of 1214121431424 in words is "one trillion, two hundred fourteen billion, one hundred twenty-one million, four hundred thirty-one thousand, four hundred twenty-four".