424131122112 has 224 divisors, whose sum is σ = 1198169190144. Its totient is φ = 131947315200.

The previous prime is 424131122089. The next prime is 424131122117. The reversal of 424131122112 is 211221131424.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424131122117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436797787 + ... + 436798757.

Almost surely, 2^424131122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424131122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599084595072).

424131122112 is an abundant number, since it is smaller than the sum of its proper divisors (774038068032).

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

424131122112 is a wasteful number, since it uses less digits than its factorization.

424131122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1977 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 424131122112 its reverse (211221131424), we get a palindrome (635352253536).

The spelling of 424131122112 in words is "four hundred twenty-four billion, one hundred thirty-one million, one hundred twenty-two thousand, one hundred twelve".