302112000000 has 504 divisors, whose sum is σ = 1091719424250. Its totient is φ = 80486400000.

The previous prime is 302111999977. The next prime is 302112000013. The reversal of 302112000000 is 211203.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 90923959296 + 211188040704 = 301536^2 + 459552^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 287999476 + ... + 288000524.

Almost surely, 2^302112000000 is an apocalyptic number.

302112000000 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 302112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545859712125).

302112000000 is an abundant number, since it is smaller than the sum of its proper divisors (789607424250).

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

302112000000 is an frugal number, since it uses more digits than its factorization.

302112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1059 counting only the distinct ones).

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

Adding to 302112000000 its reverse (211203), we get a palindrome (302112211203).

The spelling of 302112000000 in words is "three hundred two billion, one hundred twelve million", and thus it is an aban number.