301200030120000 has 560 divisors, whose sum is σ = 1090697628835584. Its totient is φ = 72727200000000.

The previous prime is 301200030119993. The next prime is 301200030120053. The reversal of 301200030120000 is 21030002103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 330865455 + ... + 331774545.

Almost surely, 2^{301200030120000} is an apocalyptic number.

301200030120000 is a gapful number since it is divisible by the number (30) 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 301200030120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545348814417792).

301200030120000 is an abundant number, since it is smaller than the sum of its proper divisors (789497598715584).

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

301200030120000 is a wasteful number, since it uses less digits than its factorization.

301200030120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909388 (or 909363 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 301200030120000 its reverse (21030002103), we get a palindrome (301221060122103).

The spelling of 301200030120000 in words is "three hundred one trillion, two hundred billion, thirty million, one hundred twenty thousand".