120444112400 has 30 divisors (see below), whose sum is σ = 289366981002. Its totient is φ = 48177644800.

The previous prime is 120444112381. The next prime is 120444112427. The reversal of 120444112400 is 4211444021.

It can be written as a sum of positive squares in 3 ways, for example, as 33904593424 + 86539518976 = 184132^2 + 294176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 150554741 + ... + 150555540.

Almost surely, 2^120444112400 is an apocalyptic number.

120444112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120444112400 is an abundant number, since it is smaller than the sum of its proper divisors (168922868602).

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

120444112400 is a wasteful number, since it uses less digits than its factorization.

120444112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301110299 (or 301110288 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 120444112400 its reverse (4211444021), we get a palindrome (124655556421).

The spelling of 120444112400 in words is "one hundred twenty billion, four hundred forty-four million, one hundred twelve thousand, four hundred".