120444353340520 has 128 divisors (see below), whose sum is σ = 296848010684160. Its totient is φ = 43618703708160.

The previous prime is 120444353340511. The next prime is 120444353340523. The reversal of 120444353340520 is 25043353444021.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (120444353340523) 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, 131066482 + ... + 131982238.

It is an arithmetic number, because the mean of its divisors is an integer number (2319125083470).

Almost surely, 2^{120444353340520} is an apocalyptic number.

120444353340520 is a gapful number since it is divisible by the number (10) 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 120444353340520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148424005342080).

120444353340520 is an abundant number, since it is smaller than the sum of its proper divisors (176403657343640).

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

120444353340520 is a wasteful number, since it uses less digits than its factorization.

120444353340520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917003 (or 916999 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

The spelling of 120444353340520 in words is "one hundred twenty trillion, four hundred forty-four billion, three hundred fifty-three million, three hundred forty thousand, five hundred twenty".