302001000120 has 192 divisors, whose sum is σ = 1035277027200. Its totient is φ = 76138755840.

The previous prime is 302001000089. The next prime is 302001000151. The reversal of 302001000120 is 21000100203.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (302001000089) and next prime (302001000151).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3313479 + ... + 3403401.

It is an arithmetic number, because the mean of its divisors is an integer number (5392067850).

Almost surely, 2^302001000120 is an apocalyptic number.

302001000120 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 302001000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517638513600).

302001000120 is an abundant number, since it is smaller than the sum of its proper divisors (733276027080).

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

302001000120 is a wasteful number, since it uses less digits than its factorization.

302001000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90450 (or 90443 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 302001000120 its reverse (21000100203), we get a palindrome (323001100323).

The spelling of 302001000120 in words is "three hundred two billion, one million, one hundred twenty", and thus it is an aban number.