1242434401124 has 96 divisors (see below), whose sum is σ = 2629048181760. Its totient is φ = 502443648000.

The previous prime is 1242434401093. The next prime is 1242434401133. The reversal of 1242434401124 is 4211044342421.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26729744 + ... + 26776184.

It is an arithmetic number, because the mean of its divisors is an integer number (27385918560).

Almost surely, 2^{1242434401124} is an apocalyptic number.

1242434401124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242434401124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314524090880).

1242434401124 is an abundant number, since it is smaller than the sum of its proper divisors (1386613780636).

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

1242434401124 is a wasteful number, since it uses less digits than its factorization.

1242434401124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47229 (or 47227 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 1242434401124 its reverse (4211044342421), we get a palindrome (5453478743545).

The spelling of 1242434401124 in words is "one trillion, two hundred forty-two billion, four hundred thirty-four million, four hundred one thousand, one hundred twenty-four".