120031144125200 has 480 divisors, whose sum is σ = 374835068163072. Its totient is φ = 35852753664000.

The previous prime is 120031144125199. The next prime is 120031144125229. The reversal of 120031144125200 is 2521441130021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 120031144125200.

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 95 ways as a sum of consecutive naturals, for example, 69338195 + ... + 71048205.

Almost surely, 2^{120031144125200} is an apocalyptic number.

120031144125200 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 120031144125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187417534081536).

120031144125200 is an abundant number, since it is smaller than the sum of its proper divisors (254803924037872).

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

120031144125200 is a wasteful number, since it uses less digits than its factorization.

120031144125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710143 (or 1710132 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 120031144125200 its reverse (2521441130021), we get a palindrome (122552585255221).

The spelling of 120031144125200 in words is "one hundred twenty trillion, thirty-one billion, one hundred forty-four million, one hundred twenty-five thousand, two hundred".