120442201010404 has 96 divisors (see below), whose sum is σ = 259979614578432. Its totient is φ = 47543618304000.

The previous prime is 120442201010399. The next prime is 120442201010441. The reversal of 120442201010404 is 404010102244021.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 745409784 + ... + 745571344.

It is an arithmetic number, because the mean of its divisors is an integer number (2708120985192).

Almost surely, 2^{120442201010404} is an apocalyptic number.

120442201010404 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 120442201010404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129989807289216).

120442201010404 is an abundant number, since it is smaller than the sum of its proper divisors (139537413568028).

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

120442201010404 is a wasteful number, since it uses less digits than its factorization.

120442201010404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166037 (or 166035 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 120442201010404 its reverse (404010102244021), we get a palindrome (524452303254425).

The spelling of 120442201010404 in words is "one hundred twenty trillion, four hundred forty-two billion, two hundred one million, ten thousand, four hundred four".