120220312003000 has 256 divisors, whose sum is σ = 326625738042240. Its totient is φ = 40931721216000.

The previous prime is 120220312002991. The next prime is 120220312003019. The reversal of 120220312003000 is 300213022021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34425484 + ... + 37756516.

Almost surely, 2^{120220312003000} is an apocalyptic number.

120220312003000 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 120220312003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163312869021120).

120220312003000 is an abundant number, since it is smaller than the sum of its proper divisors (206405426039240).

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

120220312003000 is a wasteful number, since it uses less digits than its factorization.

120220312003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331275 (or 3331261 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 120220312003000 its reverse (300213022021), we get a palindrome (120520525025021).

The spelling of 120220312003000 in words is "one hundred twenty trillion, two hundred twenty billion, three hundred twelve million, three thousand".