120054245200 has 60 divisors (see below), whose sum is σ = 288549148860. Its totient is φ = 48001914880.

The previous prime is 120054245149. The next prime is 120054245203. The reversal of 120054245200 is 2542450021.

It can be written as a sum of positive squares in 6 ways, for example, as 2778133264 + 117276111936 = 52708^2 + 342456^2 .

It is a super-3 number, since 3×120054245200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120054245203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 930216 + ... + 1051384.

It is an arithmetic number, because the mean of its divisors is an integer number (4809152481).

Almost surely, 2^120054245200 is an apocalyptic number.

120054245200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120054245200 is an abundant number, since it is smaller than the sum of its proper divisors (168494903660).

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

120054245200 is a wasteful number, since it uses less digits than its factorization.

120054245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123664 (or 123653 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 120054245200 its reverse (2542450021), we get a palindrome (122596695221).

The spelling of 120054245200 in words is "one hundred twenty billion, fifty-four million, two hundred forty-five thousand, two hundred".