120330300030000 has 200 divisors, whose sum is σ = 388683228590448. Its totient is φ = 32068173696000.

The previous prime is 120330300029993. The next prime is 120330300030001. The reversal of 120330300030000 is 30003033021.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×120330300030000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (120330300030001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 47146662 + ... + 49633338.

Almost surely, 2^{120330300030000} is an apocalyptic number.

120330300030000 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 120330300030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194341614295224).

120330300030000 is an abundant number, since it is smaller than the sum of its proper divisors (268352928560448).

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

120330300030000 is a wasteful number, since it uses less digits than its factorization.

120330300030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488321 (or 2488300 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 120330300030000 its reverse (30003033021), we get a palindrome (120360303063021).

The spelling of 120330300030000 in words is "one hundred twenty trillion, three hundred thirty billion, three hundred million, thirty thousand".