120131404224 has 112 divisors (see below), whose sum is σ = 342415745952. Its totient is φ = 36950740992.

The previous prime is 120131404223. The next prime is 120131404249. The reversal of 120131404224 is 422404131021.

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

It is a junction number, because it is equal to n+sod(n) for n = 120131404194 and 120131404203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120131404223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9311122 + ... + 9324014.

It is an arithmetic number, because the mean of its divisors is an integer number (3057283446).

Almost surely, 2^120131404224 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 120131404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171207872976).

120131404224 is an abundant number, since it is smaller than the sum of its proper divisors (222284341728).

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

120131404224 is a wasteful number, since it uses less digits than its factorization.

120131404224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16654 (or 16644 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 120131404224 its reverse (422404131021), we get a palindrome (542535535245).

The spelling of 120131404224 in words is "one hundred twenty billion, one hundred thirty-one million, four hundred four thousand, two hundred twenty-four".